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If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]...

If `A=[[0,-tan(alpha/2)],[tan(alpha/2),0]]` show that
`(I+A)` =`(I-A)[[cosalpha,-sinalpha],[sinalpha,cosalpha]]` where `I=[[1,0],[0,1]]`

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Verified by Experts

The correct Answer is:
`=[{:(1,-"tan"(alpha)/(2)),("tan"(alpha)/(2),1):}]=LHS`
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ARIHANT PUBLICATION-MATRICES -QUESTIONS FPR PRACTICE Part II (Multiplication of Matrices (Matrix Multiplecation) Short Answer Type Questions
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  3. Find the product [{:(1,2,3),(2,3,4):}][{:(1,-2),(-2,3):}]

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  4. If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).

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  5. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

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  6. Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...

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  7. Find the matrix A such that A[{:(1,2,3),(4,5,6):}]=[{:(-7,-8,-9),(2,4...

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  8. If the matrix A is such that [{:(1,-1),(2,3):}]A=[{:(-4,1),(7,7):}] th...

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  9. Let A=[{:(2,-1),(3,4):}],B=[{:(5,2),(7,4):}]andC=[{:(2,5),(3,8):}]. F...

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  10. If f(x)=[{:(cosx,-sinx,0),(sinx,cosx,0),(0,0,1):}], then show that ...

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  11. If A= [{:(1,-1),(2,-1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)...

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  12. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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