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Assume Y, W and P are the matrices of o...

Assume Y, W and P are the matrices of orders `3xxk,nxx3andpxxk` .Find the restrictions on n,k and p, so that PY + WY will be defined .

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The correct Answer is:
`k=3,p=n`
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ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. If A=[{:(2,4),(3,2):}]andB=[{:(1,3),(-2,5):}], then find A-B.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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