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Find the difference.

[[-1,3],[4,1]]-[[1,4],[3,0]]=

Find the difference.\newline[1341][1430]= \left[\begin{array}{cc} -1 & 3 \\ 4 & 1 \end{array}\right]-\left[\begin{array}{ll} 1 & 4 \\ 3 & 0 \end{array}\right]=

Full solution

Q. Find the difference.\newline[1341][1430]= \left[\begin{array}{cc} -1 & 3 \\ 4 & 1 \end{array}\right]-\left[\begin{array}{ll} 1 & 4 \\ 3 & 0 \end{array}\right]=
  1. Understand the problem: Understand the problem.\newlineWe need to find the difference between two matrices by subtracting the second matrix from the first matrix element-wise.
  2. Subtract the elements of the first row: Subtract the elements of the first row.\newlineSubtract the first element of the first row of the second matrix from the first element of the first row of the first matrix: 11=2-1 - 1 = -2.\newlineSubtract the second element of the first row of the second matrix from the second element of the first row of the first matrix: 34=13 - 4 = -1.
  3. Subtract the elements of the second row: Subtract the elements of the second row.\newlineSubtract the first element of the second row of the second matrix from the first element of the second row of the first matrix: 43=14 - 3 = 1.\newlineSubtract the second element of the second row of the second matrix from the second element of the second row of the first matrix: 10=11 - 0 = 1.
  4. Write down the resulting matrix: Write down the resulting matrix.\newlineThe resulting matrix after subtraction is:\newline\left[\begin{array}{cc}\(\newline-2 & -1 (\newline\)1 & 1\newline\end{array}\right]\)