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If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,...

If `X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}]`, find
(i) X+Y
(ii) 2X-3Y
(iii) A matrix Z such that X+Y +Z is a zero matrix.

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The correct Answer is:
(i) `=[{:(2,1,-2),(12,0,1):}]`
(ii) `=[{:(0,-1,1),(-11,-10,-18):}]`
(iii) `=[{:(-5,-2,2),(-12,0,-1):}]`
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KUMAR PRAKASHAN-MATRICES -Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. Find values of a and b if A =B where A=[{:(a+4,3b),(8,-6):}],B=[{:(2a...

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  2. If possible , find the sum of the matrices A and B , where A=[{:(sqrt(...

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  3. If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}], find (i) X...

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  4. Find non - zero values of x satisfying the matrix equation : x*[{:(...

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  5. If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}] show that (A+B)*(A-B)ne...

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  6. Find x, if [1" "x" "1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),(x):}]=...

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  7. Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 ...

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  8. Find the matrix A satisfying the matrix equation : [{:(2,1),(3,2):}]...

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  9. Find A , if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

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  10. If A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}],then verify (B...

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  11. If possible , find BA and AB , where A=[{:(2,1,2),(1,2,4):}],B=[{:...

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  12. Show by an example that for AneO,BneO,AB=O.

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  13. Given A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}]. Is (AB)'=B'...

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  14. Solve for x and y : x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=...

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  15. If X and Y are 2xx2 matrices , then solve the following matrix equati...

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  16. If A=[3" " 5],B=[7" " 3] , then find a non - zero matrix C such tha...

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  17. Give an example of matrices A,B and C such that AB=AC, where A is nonz...

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  18. If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}]andC=[{:(1,0),(-1,0):}] ve...

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  19. If P=[{:(x,0,0),(0,y,0),(0,0,z):}]andQ=[{:(a,0,0),(0,b,0),(0,0,c):}], ...

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  20. If [[2" "1" "3][{:(-1,0,-1),(-1,1,0),(0,0,1):}]*[{:(1),(0),(-1):}]=A f...

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