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CBSE Class 12 Maths 2010 Solved Paper

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Question : 10
Total: 29
If [
12
34
][
31
25
] = [
711
k23
] , then write the value of k.
Solution:  
Given [
12
34
][
31
25
] = [
711
k23
]
Now using matrix multiplication in LHS, we get
[
1×3+2×21×1+2×5
3×3+4×23×1+4×5
]
= [
711
k23
]
⇒ [
3+41+10
9+83+20
] = [
711
k23
]
⇒ [
711
1723
] = [
711
k23
]
Now on equating the corresponding elements we get the value of k = 17
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