Respuesta :


The first number in the top row multiplies with the top number in the second matrix and that gets added to the second number in the top row multiplied by the bottom number in the second matrix.

Then the bottom row in the first matrix, multiplies the same way:


6 x -5 + -1 x 4 = -34

-4 x -5 + 3 x 4 = 32


The answer would be E.

We have that the multiple of the above given matrix is  given as

[tex]\begin{bmatrix}-34 \\-8 \end{bmatrix}[/tex]

And correct option is E

From the question we are told that:

[tex]\begin{bmatrix}6 & -1 \\-4 & 3\end{bmatrix} *\begin{bmatrix}-5 \\4 \end{bmatrix}[/tex]

Generally The new matrix will be a [1*1] Matrix

And to calculate this we have

For Row 1

[tex]R_1=6*(-5)+-1*4[/tex]

[tex]R_1=-34[/tex]

For Row 2

[tex]R_2=-4*(-5)+3*4[/tex]

[tex]R_2=-8[/tex]

Given the Resultant Matrix to be

[tex]\begin{bmatrix}-34 \\-8 \end{bmatrix}[/tex]

In conclusion

The multiply of the above given matrix is  given as

[tex]\begin{bmatrix}-34 \\-8 \end{bmatrix}[/tex]

Therefore

The correct option is E

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