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Find the difference.

[[1,0],[-2,-1]]-[[-1,1],[3,-2]]=

Find the difference. $\newline$ $\left[\begin{array}{cc} 1 & 0 \\ -2 & -1 \end{array}\right]-\left[\begin{array}{cc} -1 & 1 \\ 3 & -2 \end{array}\right]=$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the difference.

\newline

\left[\begin{array}{cc} 1 & 0 \\ -2 & -1 \end{array}\right]-\left[\begin{array}{cc} -1 & 1 \\ 3 & -2 \end{array}\right]=

Write Matrices: Write down the matrices to be subtracted. $\newline$ Matrix A: $\begin{bmatrix} 1 & 0 \ -2 & -1 \end{bmatrix}$ $\newline$ Matrix B: $\begin{bmatrix} -1 & 1 \ 3 & -2 \end{bmatrix}$
Subtract Elements: Subtract the corresponding elements of Matrix B from Matrix A. $\newline$ To subtract two matrices, subtract their corresponding elements. That is, subtract the element in the first row and first column of Matrix B from the element in the first row and first column of Matrix A, and so on for the other elements. $\newline$ So, we have: $\newline$ $(1 - (-1)), (0 - 1)$ $\newline$ $(-2 - 3), (-1 - (-2))$
Perform Subtraction: Perform the subtraction for each element. $\newline$ $(1 - (-1)) = 1 + 1 = 2$ $\newline$ $(0 - 1) = -1$ $\newline$ $(-2 - 3) = -5$ $\newline$ $(-1 - (-2)) = -1 + 2 = 1$
Write Resulting Matrix: Write the resulting matrix with the calculated values. $\newline$ The resulting matrix after subtraction is: $\newline$ $\begin{bmatrix} 2 & -1 \ -5 & 1 \end{bmatrix}$

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