Consider these matrix transformations: {:[A=[[-4,-1],[-4,2]]],[B=[[1,4],[,],[4,1]]]:} This is the result of composing A@B, with the first column missing. [[x,-17],[y,-14]] Find the missing values. {:[x=],[y=]:}

Given Matrices A and B: We are given two matrices A and B, and the result of their multiplication A@B with the first column missing. We need to find the missing values x and y in the first column of the resulting matrix. A = [[-4, -1], [-4, 2]] B = [[1, 4], [4, 1]] The resulting matrix after A@B is given as: [[x, -17], [y, -14]] To find x and y, we need to perform the matrix multiplication A@B and look at the first column of the result.Calculating x: First, let's calculate the element in the first row and first column of the resulting matrix A@B. This is done by taking the dot product of the first row of A with the first column of B: (-4)*1 + (-1)*4 = -4 - 4 = -8 So, x = -8.Calculating y: Now, let's calculate the element in the second row and first column of the resulting matrix A@B. This is done by taking the dot product of the second row of A with the first column of B: (-4)*1 + 2*4 = -4 + 8 = 4 So, y = 4.

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Consider these matrix transformations:

{:[A=[[-4,-1],[-4,2]]],[B=[[1,4],[,],[4,1]]]:}
This is the result of composing
A@B, with the first column missing.

[[x,-17],[y,-14]]
Find the missing values.

{:[x=],[y=]:}

Consider these matrix transformations: $\newline$ $\begin{array}{l} \mathbf{A}=\left[\begin{array}{cc} -4 & -1 \\ -4 & 2 \end{array}\right] \\ \mathbf{B}=\left[\begin{array}{ll} 1 & 4 \\ 4 & 1 \end{array}\right] \end{array}$ $\newline$ This is the result of composing $\mathbf{A} \circ \mathbf{B}$ , with the first column missing. $\newline$ $\left[\begin{array}{ll} x & -17 \\ y & -14 \end{array}\right]$ $\newline$ Find the missing values. $\newline$ $\begin{array}{l} x= \\ y= \end{array}$

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Q. Consider these matrix transformations:

\newline

\begin{array}{l} \mathbf{A}=\left[\begin{array}{cc} -4 & -1 \\ -4 & 2 \end{array}\right] \\ \mathbf{B}=\left[\begin{array}{ll} 1 & 4 \\ 4 & 1 \end{array}\right] \end{array}

\newline

This is the result of composing

\mathbf{A} \circ \mathbf{B}

, with the first column missing.

\newline

\left[\begin{array}{ll} x & -17 \\ y & -14 \end{array}\right]

\newline

Find the missing values.

\newline

\begin{array}{l} x= \\ y= \end{array}

Given Matrices A and B: We are given two matrices $A$ and $B$ , and the result of their multiplication $A@B$ with the first column missing. We need to find the missing values $x$ and $y$ in the first column of the resulting matrix. $\newline$ $A = [[-4, -1], [-4, 2]]$ $\newline$ $B = [[1, 4], [4, 1]]$ $\newline$ The resulting matrix after $A@B$ is given as: $\newline$ $[[x, -17], [y, -14]]$ $\newline$ To find $x$ and $y$ , we need to perform the matrix multiplication $A@B$ and look at the first column of the result.
Calculating x: First, let's calculate the element in the first row and first column of the resulting matrix $A@B$ . This is done by taking the dot product of the first row of $A$ with the first column of $B$ : $(-4)\cdot 1 + (-1)\cdot 4 = -4 - 4 = -8$ So, $x = -8$ .
Calculating y: Now, let's calculate the element in the second row and first column of the resulting matrix $A@B$ . This is done by taking the dot product of the second row of $A$ with the first column of $B$ : $(-4)\cdot 1 + 2\cdot 4 = -4 + 8 = 4$ So, $y = 4$ .