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If Possible , then find the sum of the m...

If Possible , then find the sum of the matrices A and B , where `A=[{:(sqrt(3),1),(2,3):}]andB=[{:(x,y,z),(a,b,c):}]`.

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ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. If A = [ {:(cos alpha, - sin alpha),(sin alpha, cos alpha):}], then fo...

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  2. If [{:(x+3,z+4,2y-7),(-6,a-1,0),(b-3,-21,0):}]=[{:(0,6,3y-2),(-6,-3,2c...

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  3. If Possible , then find the sum of the matrices A and B , where A=[{:(...

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  4. Simplify[{:(cos^(2)x,sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:(sin^(2)x,cos...

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  5. Find the value of y and x from the following equation 2[{:(x,5),(7,y-...

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

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

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

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  9. If [{:(9,-1,4),(-2,1,3),(1,2,-1):}]=A+[{:(1,2,-1),(0,4,9),(3,1,-2):}] ...

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  10. Assume Y, W and P are the matrices of orders 3xxk,nxx3andpxxk .Find t...

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  11. Let A=[a(ij)](nxxn) be a diagonal matrix whose diagonal elements are...

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  12. Suppose A=[{:(5,4),(2,3):}]andB=[{:(3,5,1),(6,8,4):}] , then find AB a...

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  13. Find x from the matrix equation [{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5)...

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  14. If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...

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  15. Show by an example that for AneO,BneOandAB=O.

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  16. If A=[{:(1,2),(3,4):}]then find A+A .

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  17. If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify t...

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  18. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

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  19. If A and B are symmetric matrices , then prove that BA - 2AB is neithe...

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  20. Express the matrix A=[{:(3,1),(5,-1):}] as the sum of a symmetric and...

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