Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

Options:

a

b

c

d

Correct Answer:

a

Explanation:

\(B = \begin{bmatrix}-1 & 2 & 1\\1 & 2 & 3\end{bmatrix}\),  \(B^T = \begin{bmatrix}-1 & 1\\2 & 2\\1 & 3\end{bmatrix}\)

so,

\(A^T - B^T = \begin{bmatrix}3 & 4\\-1 & 2\\0 & 1\end{bmatrix} - \begin{bmatrix}-1 & 1\\2 & 2\\1 & 3\end{bmatrix}\)

\(A^T - B^T = \begin{bmatrix}4 & 3\\-3 & 0\\-1 & -2\end{bmatrix}\)