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If A=[{:( 0,-x),(x,0):}].B=[{:(0,1),(1,0...

If `A=[{:( 0,-x),(x,0):}].B=[{:(0,1),(1,0):}]` and `x^(2)=-1` , then show that `(A+B)^(2)=A^(2)+B^(2)`.

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To solve the problem, we need to show that \((A + B)^2 = A^2 + B^2\) given the matrices \(A\) and \(B\) and the condition \(x^2 = -1\). ### Step 1: Define the matrices \(A\) and \(B\) Given: \[ A = \begin{pmatrix} 0 & -x \\ x & 0 \end{pmatrix}, \quad B = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \] ...
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
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  2. If A=[{:(cos q,sin q),(-sin q, cos q):}] , then variefy that A^(2)=[{:...

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  3. If A=[{:( 0,-x),(x,0):}].B=[{:(0,1),(1,0):}] and x^(2)=-1 , then show ...

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  5. If A is a square matrix, using mathematical induction prove that (A...

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  15. If P(x)=[(cosx, sinx),(-sinx, cosx)], then show that P(x).P(y)=P(x+y)=...

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