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प्रश्न
`If [[x + 3 , z + 4 , 2y-7 ],[4x + 6,a-1,0 ],[b-3,3b,z + 2c ]]= [[0,6,3y-2],[2x,-3,2c-2],[2b + 4,-21,0]]`Obtain the values of a, b, c, x, y and z.
उत्तर
Since all the corresponding element of a matrix are equal,
x+3=0
⇒x=−3
Also,
2y−7=3y−2
⇒2y−3y=−2+7
⇒−y=5
⇒y=−5
z+4=6
⇒z=6−4
⇒z=2
a−1=−3
⇒a=−3+1
⇒a=−2
3b=−21
⇒b=−7
z+2c=0
⇒2=−2c
⇒c=−1
Thus,
x = -3 , y = -5 , a=-2 , b=-7 and c= -1
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