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Find the matrix A such that [{:(2,-1), (...

Find the matrix A such that `[{:(2,-1), (1,0),(-3,4):}]A=[{:(-1,-8,-10),(1,-2,-5),(9,22,15):}]`

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To find the matrix \( A \) such that \[ \begin{pmatrix} 2 & -1 \\ 1 & 0 \\ -3 & 4 \end{pmatrix} A = ...
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If [(2,-1),(1,0),(-3,4)]A=[(-1,-8,-10),(1,-2,-5),(9,22,15)] , find A.

Find the matrix A such that A.[{:(2,3),(4,5):}]=[{:(0,-4),(10," "3):}].

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]

If [(2,-1), (1, 0),(-3, 4)]A=[(-1, -8, -10), (1, -2, -5), (9, 22, 15)] , then sum of all the elements of matrix A is 0 b. 1 c. 2 d. -3

Solve the matrix equation : 2x+{:[(-3,2,6),(5,-1,0),(3,-6,-2)]:}={:[(5,-8,-4),(1,3,10),(-5,8,0)]:} .

Find the matrix X so that X[[1 ,2 ,3], [4, 5 ,6]]=[[-7,-8,-9],[2,4,6]]

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Find the matrix X so that X[[1, 2, 3],[ 4 ,5, 6]] = [[-7,-8,-9],[2,4,6]]

Wherever possible write each of the following as a single matrix. (i) [{:(,1,2),(,3,4):}]+[{:(,-1,-2),(,1,-7):}] (ii) [{:(,2,3,4),(,5,6,7):}]-[{:(,0,2,3),(,6,-1,0):}] (iii) [{:(,0,1,2),(,4,6,7):}]+[{:(,3,4),(,6,8):}]

find the transpose of the matrix A=[{:(1,3,-4),(0,2,1):}].

NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. If A=[{:(3,-5),(-1,2):}] then find A^(2)-5A- 4I.

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  2. Find the values of a,b,c and d, if 3[{:(a,b),(c,d):}]=[{:(a,6),(-1,2...

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  3. Find the matrix A such that [{:(2,-1), (1,0),(-3,4):}]A=[{:(-1,-8,-10)...

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  4. If A=[{:(1,2),(4,1):}] , then find A^(2)+2A+7I.

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  5. If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A'...

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  6. If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, the...

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

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  8. If A is square matrix such that A^(2)=A, then show that (I+A)^(3)=7A+I...

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  9. If A, B are square matrices of same order and B is skew-symmetric mat...

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  10. Let A ,B be two matrices such that they commute. Show that for any pos...

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  11. Find A=[(0,2y,z),(x,y,-z),(x,-y,z)] satisfies A^(T) = A^(-1)

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  12. Using elementary transformations (operations), find the inverse of the...

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  13. Express the matrix [{:(2 ,1),(3,4):}] as the sum of a symmetric and a ...

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  14. The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a

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  15. Total number of possible matrices of order 3xx3 with each entry 2 or 0...

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  16. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

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  17. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

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  18. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

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  19. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

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  20. If matrix A=[a(ij)](2X2), where a(ij)={[1,i!=j],[0,i=j]}, then A^2 i...

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