The matrix A -004040400 is aa square matrixb diagonal matrixc unit matrixd none of these

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Standard XII

Mathematics

Inverse of a Matrix

The matrix A ...

Question

The matrix $A = [\begin{matrix} 0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0 \end{matrix}]$ is a

(a) square matrix
(b) diagonal matrix
(c) unit matrix
(d) none of these

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Solution

Given: $A = [\begin{matrix} 0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0 \end{matrix}]$

Since, number of rows is equal to number of columns.

Therefore, A is a square matrix.

Hence, the correct option is (a).

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The matrix A=004040400 is a (a) square matrix (b) diagonal matrix (c) unit matrix (d) none of these

Given: A=004040400 Since, number of rows is equal to number of columns. Therefore, A is a square matrix. Hence, the correct option is (a).

The matrix $A = [\begin{matrix} 0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0 \end{matrix}]$ is a

(a) square matrix
(b) diagonal matrix
(c) unit matrix
(d) none of these

Given: $A = [\begin{matrix} 0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0 \end{matrix}]$

Since, number of rows is equal to number of columns.

Therefore, A is a square matrix.

Hence, the correct option is (a).