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Find the difference.

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

Find the difference.\newline[1amp;02amp;1][1amp;13amp;2]= \left[\begin{array}{cc} 1 & 0 \\ -2 & -1 \end{array}\right]-\left[\begin{array}{cc} -1 & 1 \\ 3 & -2 \end{array}\right]=

Full solution

Q. Find the difference.\newline[1021][1132]= \left[\begin{array}{cc} 1 & 0 \\ -2 & -1 \end{array}\right]-\left[\begin{array}{cc} -1 & 1 \\ 3 & -2 \end{array}\right]=
  1. Write Matrices: Write down the matrices to be subtracted.\newlineMatrix A: [1amp;0 2amp;1]\begin{bmatrix} 1 & 0 \ -2 & -1 \end{bmatrix}\newlineMatrix B: [1amp;1 3amp;2]\begin{bmatrix} -1 & 1 \ 3 & -2 \end{bmatrix}
  2. Subtract Elements: Subtract the corresponding elements of Matrix B from Matrix A.\newlineTo 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.\newlineSo, we have:\newline(1(1)),(01)(1 - (-1)), (0 - 1)\newline(23),(1(2))(-2 - 3), (-1 - (-2))
  3. Perform Subtraction: Perform the subtraction for each element.\newline(1(1))=1+1=2(1 - (-1)) = 1 + 1 = 2\newline(01)=1(0 - 1) = -1\newline(23)=5(-2 - 3) = -5\newline(1(2))=1+2=1(-1 - (-2)) = -1 + 2 = 1
  4. Write Resulting Matrix: Write the resulting matrix with the calculated values.\newlineThe resulting matrix after subtraction is:\newline[2amp;1 5amp;1]\begin{bmatrix} 2 & -1 \ -5 & 1 \end{bmatrix}

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