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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

1 Answer

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Best 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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