compute the indicated matrices (if possible). B - C Let A=begin{bmatrix}3 & 0 -1 & 5 end{bmatrix} , B=begin{bmatrix}4 & -2&1 0 & 2&3 end{bmatrix} , C=begin{bmatrix}1 & 2 3 & 45&6 end{bmatrix}, D=begin{bmatrix}0 & -3 -2 & 1 end{bmatrix},E=begin{bmatrix}4 & 2 end{bmatrix},F=begin{bmatrix}-1 2 end{bmatrix}

compute the indicated matrices (if possible). B - C Let A=begin{bmatrix}3 & 0 -1 & 5 end{bmatrix} , B=begin{bmatrix}4 & -2&1 0 & 2&3 end{bmatrix} , C=begin{bmatrix}1 & 2 3 & 45&6 end{bmatrix}, D=begin{bmatrix}0 & -3 -2 & 1 end{bmatrix},E=begin{bmatrix}4 & 2 end{bmatrix},F=begin{bmatrix}-1 2 end{bmatrix}

Question
Matrices
asked 2021-01-10
compute the indicated matrices (if possible). B - C
Let
\(A=\begin{bmatrix}3 & 0 \\-1 & 5 \end{bmatrix} , B=\begin{bmatrix}4 & -2&1 \\0 & 2&3 \end{bmatrix} , C=\begin{bmatrix}1 & 2 \\3 & 4\\5&6 \end{bmatrix}, D=\begin{bmatrix}0 & -3 \\-2 & 1 \end{bmatrix},E=\begin{bmatrix}4 & 2 \end{bmatrix},F=\begin{bmatrix}-1 \\2 \end{bmatrix}\)

Answers (1)

2021-01-11
Given
\(B=\begin{bmatrix}4 & -2&1 \\0 & 2&3 \end{bmatrix} , C=\begin{bmatrix}1 & 2 \\3 & 4\\5&6 \end{bmatrix}\)
procedure
Let A and B be any matrices , if A-B exits then order of A and B must be same.
Let A be a matrix,order of A is number of rows \(\times\) number of columns
Solution
\(B=\begin{bmatrix}4 & -2&1 \\0 & 2&3 \end{bmatrix} \text{ and } C=\begin{bmatrix}1 & 2 \\3 & 4\\5&6 \end{bmatrix}\)
here,
order of B is \(2 \times 3\)
order of C is \(3 \times 2\)
now, order of B is not equal to order of C
Hence B-C does not exit.
0

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