If A 2 +3I= O, find A -1.
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matrices:
A² = - 3 I
A X A = - 3 I
multiply with A⁻¹ on both sides..
A⁻¹ X A X A = - 3 A⁻¹
I X A = A = -3 A⁻¹
so A⁻¹ = -1/3 * A
A² = - 3 I
A X A = - 3 I
multiply with A⁻¹ on both sides..
A⁻¹ X A X A = - 3 A⁻¹
I X A = A = -3 A⁻¹
so A⁻¹ = -1/3 * A
Answered by
0
A² = - 3 I
A X A = - 3 I
multiply with A⁻¹ on both sides..
(A⁻¹) X A X A = - 3 (A⁻¹)
I X A = A = -3 A⁻¹
so A⁻¹ = -1/3 * A hence proved
A X A = - 3 I
multiply with A⁻¹ on both sides..
(A⁻¹) X A X A = - 3 (A⁻¹)
I X A = A = -3 A⁻¹
so A⁻¹ = -1/3 * A hence proved
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