If \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\)

1.	If \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) + 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\) then A = ?A. \(\begin{pmatrix} 1 & 3 \\ -5 & 4 \\ \end{pmatrix}\)B. \(\begin{pmatrix} -1 & 5 \\ -3 & 4 \\ \end{pmatrix}\)C. \(\begin{pmatrix} 1 & 4 \\ -6 & 2 \\ \end{pmatrix}\)D. none of these
Answer» Correct answer is\(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) + 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\) ⇒ 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\) - \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) ⇒ 2A = \(\begin{pmatrix} 2 & 8 \\ -12 & 4 \\ \end{pmatrix}\) Dividing the matrix by 2 A = \(\begin{pmatrix} 1 & 4 \\ -6 & 2 \\ \end{pmatrix}\)

If \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) + 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\) then A = ?A. \(\begin{pmatrix} 1 & 3 \\ -5 & 4 \\ \end{pmatrix}\)B. \(\begin{pmatrix} -1 & 5 \\ -3 & 4 \\ \end{pmatrix}\)C. \(\begin{pmatrix} 1 & 4 \\ -6 & 2 \\ \end{pmatrix}\)D. none of these

Answer»

Correct answer is\(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\)

\(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\) + 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\)

⇒ 2A = \(\begin{pmatrix} 5 & 6 \\ -7 & 10 \\ \end{pmatrix}\) - \(\begin{pmatrix} 3 & -2 \\ 5 & 6 \\ \end{pmatrix}\)

⇒ 2A = \(\begin{pmatrix} 2 & 8 \\ -12 & 4 \\ \end{pmatrix}\)

Dividing the matrix by 2

A = \(\begin{pmatrix} 1 & 4 \\ -6 & 2 \\ \end{pmatrix}\)