If A-aij- is scalar matrix of order n- n such that aij-k for all i- then - A - equals

The correct option is D k^n For scalar matrix | [ K amp; 0 amp; 0 amp; 0 amp; amp; 0; 0 amp; K amp; 0 amp; 0 amp; amp; 0; 0 amp; 0 ...

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Definition of a Determinant

If A=[aij] ...

Question

If $A = [a_{i j}]$ is scalar matrix of order $n \times n$ such that $a_{i j} = k$ for all $i$ , then $| A |$ equals

n k

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n + k

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n^{k}

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k^{n}

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Solution

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Similar questions

A = [a_{i j}]

n \times n

a_{i j} = k

A = [a_{i j}]

n \times n

a_{i j} = k

i = j

A =

\frac{n}{k}

A = {[a_{i j}]}_{m \times n}

a_{i j} = 1

A = [a_{i j}]_{n \times n}

a_{i j} = 0

i > j,

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