If $$A=a+ibc+id$$−$$c+ida$$−ib , where $$a2+b2+c2+d2=1then$$ A–$$1$$ is equal to

Correct option is 3a−ib−c−idc−ida+ib

Questions

If $A = [\begin{array}{cc} a + i b & c + i d \\ - c + i d & a - i b \end{array}]$ , where $a^{2} + b^{2} + c^{2} + d^{2}$ =1
then A^–1 is equal to

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detailed solution

Correct option is C

A−1=a−ib−c−idc−ida+ib

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If A=a+ibc+id−c+ida−ib , where a2+b2+c2+d2=1then A–1 is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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If $A = [\begin{array}{cc} a + i b & c + i d \\ - c + i d & a - i b \end{array}]$ , where $a^{2} + b^{2} + c^{2} + d^{2}$ =1
then A^–1 is equal to