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The multiplication of the matrix [tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]will be [tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex].

What is the matrix?

A matrix is a representation of the rectangular arrangement of numbers into rows and columns.

Matrix multiplication refers to the product of two matrices.

The condition of matrix multiplication is that the number of columns of the 1st matrix must equal the number of rows of the 2nd one.

The given matrix are

[tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]

The multiplication of the matrix will be

[tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex]

Learn more about matrix here;

https://brainly.com/question/16752412

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