1 Answer

Ask a Question

Kthevar · Answer 1 · 2023-05-21T10:12:26+0000

ANSWER:

There is no inverse matrix

Explanation:

We have the following matrix:

$A=\begin{bmatrix}{-5} & {-5} & {0} \\ {0} & {-5} & {-5} \\ {4} & {0} & {-4}\end{bmatrix}$

The first thing we must do is calculate the determinant of the matrix in order to know whether or not it has an inverse:

$\begin{gathered} \det A=\mleft\lbrace-5\cdot\mleft(-5\mright)\cdot\mleft(-4\mright)\mright\rbrace+\mleft\lbrace-5\cdot\mleft(-5\mright)\cdot4\mright\rbrace+\mleft\lbrace0\cdot0\cdot0\mright\rbrace-\mleft\lbrace0\cdot\mleft(-5\mright)\cdot4\mright\rbrace-\mleft\lbrace-5\cdot\mleft(-5\mright)\cdot0\mright\rbrace-\mleft\lbrace-5\cdot0\cdot\mleft(-4\mright)\mright\rbrace \\ \det A=-100+100+0-0-0-0 \\ \det A=0 \end{gathered}$

Since the determinant of A is 0, it means that it has no inverse

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

Other Questions