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Find the difference. [[4,-2],[-1,4]]-[[1,0],[0,1]]=

Find the difference.\newline[4−2−14]−[1001]= \left[\begin{array}{cc} 4 & -2 \\ -1 & 4 \end{array}\right]-\left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right]=

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Multiply two decimals: where does the decimal point go?right chevron icon

Full solution

Q. Find the difference.\newline[4−2−14]−[1001]= \left[\begin{array}{cc} 4 & -2 \\ -1 & 4 \end{array}\right]-\left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right]=
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to subtract the second matrix from the first matrix element-wise. This means we will subtract the corresponding elements of the second matrix from the first matrix.
  2. Perform Subtraction - First Element: Perform the subtraction for the first element of the first row. Subtract the first element of the first row of the second matrix from the first element of the first row of the first matrix: 4−1=34 - 1 = 3.
  3. Perform Subtraction - Second Element: Perform the subtraction for the second element of the first row. Subtract the second element of the first row of the second matrix from the second element of the first row of the first matrix: −2−0=−2-2 - 0 = -2.
  4. Perform Subtraction - First Element: Perform the subtraction for the first element of the second row. Subtract the first element of the second row of the second matrix from the first element of the second row of the first matrix: −1−0=−1-1 - 0 = -1.
  5. Perform Subtraction - Second Element: Perform the subtraction for the second element of the second row.\newlineSubtract the second element of the second row of the second matrix from the second element of the second row of the first matrix: 4−1=34 - 1 = 3.

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