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Find x from the matrix equation [{:(1,3...

Find x from the matrix equation `[{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5),(6):}]`.

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The correct Answer is:
x=-1
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Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}]

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

Find x,y,z and t, if 2[{:(x,z),(y,t):}]+3[{:(1,-1),(0,2):}]=3[{:(3,5),(4,6):}] .

Find the inverse of the matrix [{:(2,5),(1,3):}]

Find the transpose of the matrix [{:(4,3,1),(1,-2,3),(4,5,-1):}] .

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ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Let A=[a(ij)](nxxn) be a diagonal matrix whose diagonal elements are...

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

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

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

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

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

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

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

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

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

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  11. If possible then find the value of BA and AB , where A=[{:(2,1,2),(1,2...

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

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  13. If A=[{:(,),(,):}]andB=[{:(,),(,):}] , then find the matrices A^(2),B^...

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

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  15. If A=[{:(2,1):}],B=[{:(5,3,4),(8,7,6):}]andC=[{:(-1,2,1),(1,0,2):}] t...

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  16. If A=[{:(0,6,7),(-6,0,8),(7,-8,0):}],B=[{:(0,1,1),(1,0,2),(1,2,0):}]an...

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  17. How many different matrix products can you form with these three matri...

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  18. Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...

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  19. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

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  20. If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then find the va...

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