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Q17 of 108 Page 80

If , find k so that A2 = kA – 2I

A2 = A.A



Now, A2 = kA – 2I





Comparing the corresponding elements, we get,


3k -2 = 1


⇒ 3k = 3


⇒ k = 1


Therefore, the value of k is 1.


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A trust fund has Rs. 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs. 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of:

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Questions · 108
3. Matrices
1 2 3 4 4 4 5 5 6 6 6 7 8 9 10 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 5 6 7 7 8 9 10 11 12 13 14 14 15 16 17 18 19 19 20 21 22 1 1 1 2 2 3 3 4 5 5 6 6 7 7 8 8 9 10 10 10 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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