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  • Fill in the blanks in each of the The product of any matrix by the scalar _____ is the null matrix.

Fill in the blanks in each of the
The product of any matrix by the scalar _____ is the null matrix.

 

Answers (1)

The null matrix is the one in which all elements are zero.

If we want to make A = \begin{bmatrix} 1 &2 \\3 &4 \end{bmatrix} a null matrix we need to multiply it by 0.

0A = 0\begin{bmatrix} 1 &2 \\3 &4 \end{bmatrix}

\begin{bmatrix} 0 &0 \\0 &0 \end{bmatrix}

Hence, we can say that,

The product of any matrix by the scalar 0 is the null matrix.

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infoexpert22

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