All categories

3 years ago

For which values of a does ????8 a a 2 ???? have an inverse matrix?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

a not equal to 4 and -4.

Step-by-step explanation:

As we know the inverse of a matrix is adj(A)/det(A).

|A|=8*2-a*a

|A|=16-a²

For the inverse to exists the determinant should be non-zero,|A|≠0.

16-a²≠0

(4-a)(4+a)≠0

4-a≠0 and 4+a≠0

a≠4 and a≠-4.

Hence the inverse of the matrix will exists if the values of a are not equal to 4 and -4.

You might be interested in

If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.

Brut [27]

Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

$(10x - 11) = (8x - 20) + 43$

Solve for x

$10x - 11 = 8x - 20 + 43$

$10x - 11 = 8x + 23$

Subtract 8x from both sides

$10x - 11 - 8x = 8x + 23 - 8x$

$2x - 11 = 23$

Add 11 to both sides

$2x - 11 + 11 = 23 + 11$

$2x = 34$

Divide both sides by 2

$\frac{2x}{2} = \frac{34}{2}$

$x = 17$

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

m<JKL = 10(17) - 11 = 170 - 11 = 159°

3 0

3 years ago

mario62 [17]

Answer:

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

Step-by-step explanation:

hope this helps!

8 0

4 years ago

Read 2 more answers

Simplify to create an equivalent expression <br> -4(-11 + 4n) -3(-2n + 9)

Marizza181 [45]

Answer:

-71 + 22n is the equivalent expression.

This is the simplified expression.

Step-by-step explanation:

4(-11 + 4n) -3(-2n + 9)