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Question

If the matrix 1321k3145 has an inverse then the values of k.

A
k is any real number
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B
k=4
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C
k4
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D
k4
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Solution

The correct option is C k4
For a matrix to be invertible, its determinant must not be zero.
1(5k+12)3(5(3))+2(4k)0
5k1224+82k0
7k28
k4

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