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If the sum of the elements of inverse of the matrix [ {array}

Question

If the sum of the elements of inverse of the matrix \left[
\begin{array}\\
-3 & 2 \\
5 & -3 \\
\end {array}
\right] is $m$ .Find $m$

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Camila Discussed

If the sum of the elements of inverse of the matrix \left[
\begin{array}\\
-3 & 2 \\
5 & -3 \\
\end {array}
\right] is

m

.Find

m

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

A = [- 3 5 2 - 3]

co factor matrix

= [- 3 - 2 - 5 - 3]

Adjoint matrix

= [- 3 - 5 - 2 - 3]

determinant

= (- 3) (- 3) - 2 \times 5

9 - 10 = - 1

∴ A^{- 1} = (\frac{A d j A}{∣ A ∣}) = [3253]

∴ m =

sum of elements

= 3 + 5 + 2 + 3

= 13

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Question Text	If the sum of the elements of inverse of the matrix \left[ \begin{array}\\ -3 & 2 \\ 5 & -3 \\ \end {array} \right] is $m$ .Find $m$
Answer Type	Text solution:1
Upvotes	150