Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]​

Pls Help ..if A =[4 3] Is A Singular Matrix, Find 'a'[ A 3]

Answers

Answer 1

Answer:

a = 4.

Step-by-step explanation:

We know that:

[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]

is a singular matrix, now we want to find the value of a.

We know that a matrix is singular if:

Det [A] = 0

Where remember that the determinant of a 2x2 matrix is given by:

[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]

Then the determinant of A is:

Det [A] = 4*3 - a*3

and that must be zero, so:

4*3 - a*3 = 0

Now we just need to find the value of a:

12 - a*3 = 0

12 = a*3

12/3 = a

4 = a

So the value of a is 4.


Related Questions

Sally plots (−4,π)on the polar plane.


How does she proceed?


Drag a phrase to each box to correctly complete the statements.

Answers

Solution :

As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.

My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.

If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Answers

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

is 2x+3y=5 a straight-line graph​

Answers

Answer:

Yes, it is

Step-by-step explanation:

A straight line graph is of the general form;

y = mx + b

where m is the slope and b is the y intercept

We can rewrite what we have as

3y = -2x + 5

y = -2x/3 + 5/3

As we can see, it can be expressed in the general form and that makes it a straight graph

What is a name for the marked angle?
Chose 1 answer

Answers

<EAD (2nd option)

The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.

Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one

Is -2 a solution to 4x^(3)-x^(2)+16x-4

Answers

Answer:

Not a solution

Step-by-step explanation:

In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:

[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]

[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]

[tex]-32-40\stackrel{?}{=}0[/tex]

[tex]-72\neq0[/tex]

Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]

Solve the problem correctly and show ur work

1 . 3/5 ( 15x + 30 )

Answers

Answer:

9(x + 2)

Step-by-step explanation:

3/5(x+30)

multiply fractions

3(15x + 30)/5

factor 3(15x + 30) = 45(x + 2)

divide the numbers

45(x + 2)/5

45/5=9

= 9(x + 2)

Answer:

9x + 18

Step-by-step explanation:

[tex]\frac{3}{5} ( 15x + 30 )[/tex]

9x + 18

PLEASE HELP!!!

Write the factored form of the least common denominator needed to simplify this expression

Answers

Yea I’m not really sure I need help on that too

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Is the following shape a rectangle? How do you know?

Answers

Is there a picture? Because I am not sure if it’s a rectangle or not

A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it

Answers

Answer:

7.5 grams

Step-by-step explanation:

The percent of gum Arabic is 100 -30 -40 = 30 %

30%  of 25 g =

.30 * 25

7.5 grams

Answer:

[tex]7.5gm[/tex]

Step-by-step explanation:

Solution:

[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]

Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A) terms
B) products
C) variables
D) coefficients

Answers

Answer:

Co-efficients

Step-by-step explanation:

there is a number and variable.

Berapakah hasil dari
Dua belas di kali dua?​

Answers

Answer:

24

Step-by-step explanation:

[tex] = > 12 \times 2[/tex]

[tex] = 24[/tex]

Evaluate f(3)

A. 18
B. 12
C. 4
D. 21

Answers

C


Thanks me later, pa brainliest po ako....

Answer:

the answer is c you will thank us later

Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378

Answers

Answer:

a) 11,129

b) 2,625,966

I think that the answer

Which value of y makes the equation 55/y = 5 true?

Answers

Answer:

11

Step-by-step explanation:

55/11=5

Three Bell ringing constituency in intervals of 30,36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8:00 a.M.​

Answers

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined

Answers

Answer:

27 is the correct answer

Answer:

27

Step-by-step explanation:

Put these numbers in order from greatest to least.

3/7,1/6,5/6, and 0.14

Answers

5/3, 3/7, 1/6, 0.14

Congruent angle pairs : find value of x and the value of y

Answers

the answer is C x=50 y=10

5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).

Answers

Answer:

The coordinates of the point N is (2,3)

Step-by-step explanation:

For us to find the midpoint between two points

We use the midpoint formula which is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

We start by finding the midpoint of AB to get the coordinates of the point M

A(-1,3) and B(7,-3)

(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

C(1,6) and M (3,0)

(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Someone please help me with this :/

5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8

Answers

Answer:

A

Step-by-step explanation:

Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.

let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)

Answers

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

Help me with this question too

Answers

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

What is the slope of the line whose equation is y-4=5/2(x-2)? ​

Answers

Answer:

5/2

Step-by-step explanation:

We know,

Equation of the slope is, y = mx + c.   Where m is the slope.

y - 4 = 5/2*(x-2)

y = 5/2*(x-2) + 4

y = (5/2)x - 5 + 4

y = (5/2)x - 1

y = (5/2)x + (-1)      [y = mx + c form]

Slope, m = 5/2

Hope this will help. Please mark me brainliest.

Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x

y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2

y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))

Cancel the common factor.

y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)

Rewrite the expression.

y−4=5x2+5⋅−1y-4=5x2+5⋅-1

Multiply 55 by −1-1.

y−4=5x2−5

Add 44 to both sides of the equation.

y=5x2−5+4y=5x2-5+4

Add −5-5 and 44.

y=5x2−1

Reorder terms.

y=52x−1

THE ANSWER IS M = 5/2

Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information.

Answers

x - 8.3 = 52.7

x = 61

pls solve quickly !!

Answers

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

The cuboid and the triangular prism have the same volume. Find the value of x.

Answers

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer

Answers

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

What is the rate of change of the function?

Answers

Answer:

3

Step-by-step explanation:

the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.

Hope this helps

please I need this question fast please​

Answers

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

Let t=4 and u=6+2i. Find t+u.

Answers

The answer for the following question is 12i.

Answer:

t + u = 10 + 2i

Step-by-step explanation:

t + u

= 4 + 6 + 2i ← collect like terms

= 10 + 2i

Other Questions
How did migrant labour system affect the family lives in the community? what this child likes is an apple only..... ( replace what with that ) did I do this right?? Please help me it urgent i need help i beg you guys! Colonialism has had a large impact on Wolof kinship and political organization. Despite this, they have managed to maintain their village structure and organization, despite many changes in the overarching political structure. For this question, discuss Wolof kinship and politics by talking about the newly married couple, Baaku and Awa. Where will the newly married couple live A horizontal force is applied to a 4.0 kg box. The box starts from rest, moves a horizontal distance of 10.0 meters, and obtains a velocity of 7.0 m/s. The change in the kinetic energy is:_____. The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options. sammy is on level 40 , which is five times as much as rocky.what islevel rocky on Find the area of the trapezoid. Leave your answer in simplest radical form. What was the state of the French government during Napoleon's exile? What would happen to the weight of an ice cub if it melted? A) it would weigh a little more.B) it would weigh a lot less. C) it would weigh the same. D) it would weigh a lot more. Margaret Moore started her own consulting firm, Carla Vista Consulting, on May 1, 2020. The following transactions occurred during the month of May. May: 1 Trixie invested $7,600 cash in the business. 2 Paid $950 for office rent for the month. 3 Purchased $600 of supplies on account. 5 Paid $160 to advertise in the County News. 9 Received $4,500 cash for services performed. 12 Withdrew $1,200 cash for personal use. 15 Performed $5,600 of services on account. 17 Paid $2,000 for employee salaries. 20 Made a partial payment of $400 for the supplies purchased on account on May 3. 23 Received a cash payment of $3,600 for services performed on account on May 15. 26 Borrowed $5,500 from the bank on a note payable. 29 Purchased equipment for $4,000 on account. 30 Paid $350 for utilities.Required:Show the effects of the previous transactions on the accounting equation. what is a property of every mixture Can someone help me? It's urgent and thank you! Please helpppppppppppp How to organize an outdoor activity? *Check schedulesChoose appropriate venuesGet InsurancePhysical preparation 1. Of the three angles in a right-angled triangle, one angle has a measureof 60 degrees. What is the measure of the third angle, Angle X? *al 60 Which part of the Thirteen Colonies is represented by Cluster B? What are the three broad sections of a state or local government's CAFR? a. Introductory, financial, and statistical. b. Financial statements, notes to the financial statements, and component units. c. Introductory, statistical, and component units. d. Component units, financial, and statistical Which mineral resource is used in chemical industry?