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If A=[{:(,3,2),(,0,5):}] and B=[{:(,1,0)...

If `A=[{:(,3,2),(,0,5):}] and B=[{:(,1,0),(,1,2):}]`, find :
(i) (A+B) (A-B) (ii) `A^2-B^2` (iii) `Is (A+B) (A-B) =A^2-B^2?`

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The correct Answer is:
(i) `[{:(,2,2),(,-1,3):}]`
(ii) `[{:(,8,16),(,-3,21):}]`
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ICSE-MATRICES-Exercise 9D
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  2. Find x and y if [{:(,3,-2),(,-1,4):}] [{:(,2x),(,1):}] +2 [{:(,-4),(...

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  3. Find x and y, if : [3x 8] [{:(,1,4),(,3,7):}] -3 [2 -7]=5[3,2y]

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  4. If [x,y] [{:(,x),(,y):}]=[25] and [-x,y] [{:(,2x),(,y):}]=[-2,]2 find ...

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  5. Given [{:(,2,1),(,-3,4):}]. X=[{:(,7),(,6):}]. Write : (i) the order...

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  6. Evaluate : [{:(,cos 45^@, sin 30^@),(,sqrt2 cos 0^@, sin 0^@):}] [{:...

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  7. If A=[{:(,0,-1),(,4,-3):}], B=[{:(,-5),(,6):}] and 3A xx M=2B, find ma...

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  8. If [{:(,a,3),(,4,1):}]+[{:(,2,b),(,1,-2):}]-[{:(,1,1),(,-2,c):}] =[{:(...

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  9. If A=[{:(,1,2),(,2,1):}] and B=[{:(,2,1),(,1,2):}] find : (i) A(BA) ...

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  10. Find x and y, if : [{:(,x,3x),(,y,4y):}] [{:(,2),(,1):}]=[{:(,5),(,12)...

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  11. If matrix X=[{:(,-3,4),(,2,-3):}] [{:(,2),(,-2):}] and 2X-3Y=[{:(,10),...

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  12. Given A=[{:(,2,-1),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(...

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  13. Find the value of x, given that: A^2=B, A=[{:(,2,12),(,0,1):}] and...

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  14. If A=[{:(,2,5),(,1,3):}], B=[{:(,4,-2),(,-1,3):}] and I is the identif...

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  15. Given A=[{:(,2,-6),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,4,0),(...

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  16. Let A=[{:(,4,-2),(,6,-3):}], B=[{:(,0,2),(,1,-1):}] and C=[{:(,-2,3),(...

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  17. Let A=[{:(,1,0),(,2,1):}], B=[{:(,2,3),(,-1,0):}]. Find A^2+AB+B^2

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  18. If A=[{:(,3,a),(,-4,8):}], B=[{:(,c,4),(,-3,0):}] , C=[{:(,-1,4),(,3,b...

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  19. Given A=[{:(,p,0),(,0,2):}], B=[{:(,0,-q),(,1,0):}], C=[{:(,2,-2),(,2,...

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  20. Given A=[{:(,3,-2),(,-1,4):}], B=[{:(,6),(,1):}], C=[{:(,-4),(,-5):}] ...

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  21. Evaluate : [{:(,4 sin 30^@ 2 cos 60^@), (,sin 90^@ 2 cos 0^@):}] ...

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