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Find the product.

-2*[[-1,3],[4,2]]=

Find the product.\newline2[1342]= -2 \cdot\left[\begin{array}{cc} -1 & 3 \\ 4 & 2 \end{array}\right]=

Full solution

Q. Find the product.\newline2[1342]= -2 \cdot\left[\begin{array}{cc} -1 & 3 \\ 4 & 2 \end{array}\right]=
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to multiply each element of the matrix by 2-2. This is a scalar multiplication of a matrix.
  2. Multiply First Element: Multiply the first element of the matrix by 2-2.\newline2×1=2-2 \times -1 = 2
  3. Multiply Second Element: Multiply the second element of the first row by 2-2.\newline2×3=6-2 \times 3 = -6
  4. Multiply First Row: Multiply the first element of the second row by 2-2.\newline2×4=8-2 \times 4 = -8
  5. Multiply Second Row: Multiply the second element of the second row by 2-2.\newline2×2=4-2 \times 2 = -4
  6. Write Resulting Matrix: Write down the resulting matrix with the products calculated in the previous steps.\newlineThe resulting matrix is:\newline[26 84]\begin{bmatrix} 2 & -6 \ -8 & -4 \end{bmatrix}