# Perform the indicated matrix operations B - A given that A, B, and C are defined as follows. If an operation is not defined, state the reason. A=begin{bmatrix}4 & 0 -3 & 5 0 & 1 end{bmatrix} B=begin{bmatrix}5 & 1 -2 & -2 end{bmatrix} C=begin{bmatrix}1 & -1 -1 & 1 end{bmatrix}

Perform the indicated matrix operations B - A given that A, B, and C are defined as follows. If an operation is not defined, state the reason.
$A=\left[\begin{array}{cc}4& 0\\ -3& 5\\ 0& 1\end{array}\right]B=\left[\begin{array}{cc}5& 1\\ -2& -2\end{array}\right]C=\left[\begin{array}{cc}1& -1\\ -1& 1\end{array}\right]$
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2abehn
Step 1
Given: $A=\left[\begin{array}{cc}4& 0\\ -3& 5\\ 0& 1\end{array}\right]B=\left[\begin{array}{cc}5& 1\\ -2& -2\end{array}\right]C=\left[\begin{array}{cc}1& -1\\ -1& 1\end{array}\right]$
To find: B-A
Step 2
To subtract two matrices, they should have the same order.
The order of matrix B is $2×2$ and the order of matrix A is $3×2$
Since they are of different orders, the matrices B and A cannot be subtracted.
Thus, the given operation is not defined.
Jeffrey Jordon