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

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

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To solve the given problem step by step, we will perform the required matrix operations. Given matrices: \[ X = \begin{pmatrix} 3 & 1 & -1 \\ 5 & -2 & -3 \end{pmatrix} \] \[ Y = \begin{pmatrix} 2 & 1 & -1 \\ 7 & 2 & 4 \end{pmatrix} \] ### (i) Find \( X + Y \) ...
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NCERT EXEMPLAR-MATRICES-Matrices
  1. Find the values of a and b, if A=B,where A=[{:(a+4,3b),(8,-6):}] "a...

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  2. If possible find the sum of the matrics A and B, where A=[{:( sqrt(3...

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  3. If X=[{:( 3,1,-1) ,(5,-2,-3) :}] "and" Y= [{:( 2,1,-1),( 7,2,4):}] the...

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  4. Find non-zero values of x satisfying the matrix equation. x[{:(2x,2)...

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  5. If A=[{:(0,1),(1,1):}] "and" B=[{:(0,-1),(1,0):}], then show that ...

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  6. Find the value of x, if [(1,x,1)][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),...

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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. if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

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

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  10. A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Verify AB=BA or...

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

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  12. Give an example of two non-zero 2xx2 matrices A and B such that A B...

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  13. Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}], is (AB)...

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  14. Solve for x and y , x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0.

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

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

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  17. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

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

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

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

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