Example 2:
Find the values of m and n in each of the following matrix equations.
(a)(3m)(1 n)=(312−2−8)(b)(m2−31)(2n)=(124+2n)(c)(m−3−11)(−124n)=(−14−1153)
(a)(3m)(1 n)=(312−2−8)(33nmmn)=(312−2−8)m=−2, 3n=12n=4
(b)(m2−31)(2n)=(124+2n)(2m+2n−6+n)=(124+2n)−6+n=4+2nn=−102m+2n=122m+2(−10)=122m−20=122m=32m=16
(c)(m−3−11)(−124n)=(−14−1153)(−m+(−12)2m+(−3n)1+4−2+n)=(−14−1153)−m−12=−14−m=−2m=2−2+n=3n=5