Question

Does this matrix have an inverse?why or why not ?

Answer 1

Answer:

C. No, because it's determinant is zero

Step-by-step explanation:

$A= \begin{bmatrix} 16 & - 4\\\\ 8 & - 2\end{bmatrix}$

$det(A) =\begin{vmatrix} 16 & - 4\\\\ 8 & - 2\end{vmatrix}$

$det(A) = 16\times (-2)-(-4)\times 8$

$det(A) = -32+32$

$det(A) = 0$

Answer 2

This matrix have no inverse, because it's determinant is zero.

It is given a 2*2 matrix of order 2.

To find this matrix have an inverse or not.

What is determinant?

A quantity obtained by the addition of products of the elements of a square matrix according to a given rule.

The given matrix is

A= $\left[\begin{array}{ccc}16&-4\\8&-2\\\end{array}\right]$

det A=16*(-2)-(-4)*8=0

det A=0

So, this matrix have no inverse, because it's determinant is zero.

Learn more about determinant here:

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