The matrix ( w -9 4 w-12 ) , does not have an inverse. Calculate the value of w?
1 Answer
Apr 28, 2018
Explanation:
We have a matrix,
# bb(W) = ( (w, -9), (4w, -12) ) #
A matrix is invertible if and only if its determinant is non-zero. Conversely it is non-invertible if and only if its determinant is zero.
Thus we require that:
# |bb(W) | = 0 #
# :. | (w, -9), (4w, -12) | = 0 #
# :. (w)(-12)-(4w)(-9) = 0 #
# :. -12w+36w = 0 #
# :. 24w = 0 #
# :. w = 0 #
