Using properties of determinants, prove the following ∣∣3aa−ba−c−a+b3bb−c−a+cc−a3c∣∣=3(a+b+c)(ab+bc+ca)
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If A is an invertible square matrix and k is a non-negative real number than (kA)−1=?
Find the inverse of each of the matrices, if it exists.[12−13]
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If A is invertable matrix of order 2, then det(A)−1 is equal to
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