If the matrix R =[-5 2]
[M -4]
is singular, determine the
value of m .
A square matrix is singular if and only if its determinant is zero.
R=[−52m−4]R=\begin{bmatrix} -5&2\\m&-4 \end{bmatrix}R=[−5m2−4]
∣−52m−4∣=(−5)⋅(−4)−2m=20−2m=0\begin{vmatrix} -5&2\\m&-4 \end{vmatrix}=(-5)\cdot (-4)-2m=20-2m=0∣∣−5m2−4∣∣=(−5)⋅(−4)−2m=20−2m=0
Answer: m=10m=10m=10 .
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