InterviewSolution
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InterviewSolution
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Which of the following statements is true? (a) Every zero matrix is a square matrix (b) A unit matrix is a diagonal matrix(c) \(\begin{bmatrix}1&0\\[0.3em]0&1\end{bmatrix}\) is the identity matrix for addition of 2 × 2 matrix(d) \(\begin{bmatrix}4&x\\[0.3em]1&3\end{bmatrix}\) = \(\begin{bmatrix}4&5\\[0.3em]1&0\end{bmatrix}\), if x = 5 |
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Answer» (b) • Every zero matrix is not necessarily a square matrix. • A unit matrix is a diagonal matrix whose diagonal elements are all 1. • The null matrix is the identity matrix for addition. If x = 5, then the matrix on LHS = \(\begin{bmatrix}4&5\\[0.3em]1&3\end{bmatrix}\) ≠ \(\begin{bmatrix}4&5\\[0.3em]1&0\end{bmatrix}\) |
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