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Scalar Multiplication of a Matrix

When a scalar...

Question

When a scalar is multiplied to a matrix, the number of rows in the matrix

A

gets doubled

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B

gets tripled

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C

remains same

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D

becomes zero

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Solution

The correct option is C remains same

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Similar questions

Q. Given an example of
(i) a row matrix which is also a column matrix,
(ii) a diagonal matrix which is not scalar,
(iii) a triangular matrix

Q. When a row matrix is multiplied by a column matrix both having the same number of elements, the resulting matrix formed is a ___?

Q. Assertion :If A is a square matrix of order n then

d e t (k A) = k^{n} | A |

Reason: If matrix B is obtained from A by multiplying any row (or column) by a non zero scalar k then

d e t (B) = k d e t (A) .

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Scalar Multiplication of a Matrix

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