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Question

Find a, b, c and d, if 3[abcd]=[a612d]+[4a+bc+d3]

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Solution

3[abcd]=[a612d]+[4a+bc+d3]

[3a3b3c3d]=[a+46+a+b1+c+d2d+3]

By comparing the corresponding elements of the matrices

3a = a + 4

2a = 4 a = 2

3b = 6 +a + b

2b – a = 6

2b -2 = 6

2b = 8 b = 4

3d = 2d + 3

d = 3

3c = -1 +c + d

2c = -1 + d

2c = -1 +3 c = 1

Therefore a =2 , b = 4, c = 1, d = 3


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