If \( A = \begin{bmatrix} 1 & 0 & 2 \\ -2 & 1 & 3 \\ 4 & 5 & 6 \end{bmatrix} \) a) Write the order of \( A^T. \) b) What types does matrix form when…
Class 12 Business Mathematics · 2081 · Solved Question with Answer
If \( A = \begin{bmatrix} 1 & 0 & 2 \\ -2 & 1 & 3 \\ 4 & 5 & 6 \end{bmatrix} \)
a) Write the order of \( A^T. \)
b) What types does matrix form when \( (A + A^T) \)?
c) What is the determinant of matrix A, if A is singular?
d) Write the formula for finding \( A^{-1} \)
e) Under which condition \( A^{-1} \) does not exist.