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Consider the matrices. A=⎡⎣⎢4−3−578−2⎤⎦⎥ and B=⎡⎣⎢−27−35−12⎤⎦⎥ What is the result of A−B? Enter your answer by filling in the boxes.

Consider the matrices A435782 and B273512 What is the result of AB Enter your answer by filling in the boxes class=

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Answer:

Step-by-step explanation:

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[tex]A-B=\left[\begin{array}{cc}4-(-2)&7-5\\-3-7&8-(-1)\\-5-(-3)&-2-2\end{array}\right] \\\\=\left[\begin{array}{cc}4+2&2\\-10&8+1\\-5+3&-4\end{array}\right] \\\\=\left[\begin{array}{cc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]

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    If two matrices are given as,

[tex]X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}[/tex] and [tex]Y=\begin{bmatrix}h & k\\ l & m\end{bmatrix}[/tex]

Then [tex]X-Y=\begin{bmatrix}a-h & b-k\\ c-l & d-m\end{bmatrix}[/tex]

Following this rule answer will be → [tex]A-B=\begin{bmatrix}6 & 2\\ -10 & 9\\ -2 & -4\end{bmatrix}[/tex].

  It's given in the question,

Two matrices, [tex]A=\begin{bmatrix}4 & 7\\ -3 & 8\\ -5 & -2\end{bmatrix}[/tex] and [tex]B=\begin{bmatrix}-2 & 5\\ 7 & -1\\ -3 & 2\end{bmatrix}[/tex]

Therefore, [tex]A-B=\begin{bmatrix}4+2 & 7-5\\ -3-7 & 8+1\\ -5+3 & -2-2\end{bmatrix}[/tex]

                  [tex]A-B=\begin{bmatrix}6 & 2\\ -10 & 9\\ -2 & -4\end{bmatrix}[/tex]

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https://brainly.com/question/14302687

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