Think & Click: Determinant of a Matrix
Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.
Calculate the determinant and tell whether the following matrix has an inverse.
L =
det(L) = 5(8) – (-2)(1) = 40 + 2 = 42.
Since the value does not equal 0, this matrix has an inverse.
Calculate the determinant and tell whether the following matrix has an inverse.
T =
det(T) = 2(20) – 10(4) = 40 – 40 = 0
Since the value equals 0, this matrix does not have an inverse.
