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U=[2" "-3" "4],V=[{:(3),(2),(1):}] X=[...

`U=[2" "-3" "4],V=[{:(3),(2),(1):}] X=[0" "2" "3]and Y=[{:(2),(2),(4):}]` then UV +XY=……….

A

20

B

[-20]

C

`-20`

D

[20]

Text Solution

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The correct Answer is:
D
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)+2...

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  2. If A=[{:(i,0),(0,i):}], n inN then A^(4n)=...... (where I is imaginar...

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  3. U=[2" "-3" "4],V=[{:(3),(2),(1):}] X=[0" "2" "3]and Y=[{:(2),(2),(4)...

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  4. If A is a square matrix then A - A' is a …… matrix.

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  5. For matrices A and B, A +B and AB are difined then ……

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  6. If A=[a" "b],B=[-b" "-a]andC=[{:(a),(-a):}] then out of the following...

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  7. If A(x)=[{:(cosx,-sinx),(sinx,cosx):}] then A((pi)/(2)).A(pi)= ………

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  8. If A=[{:(1,1),(1,1):}] then A^(100) ………

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  9. Matrix [{:(0,5,-7),(-5,0,11),(7,-11,0):}]is a ..... matrix.

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  10. Out of the following which statement is false ?

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  11. A matrix A has x rows and x+5 column . A matrix B has y rows and 11 -...

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  12. P=[{:((2)/(3),3k,a),(-(1)/(3),-4k,b),((2)/(3),-5k,c):}]If PP^(T)=I and...

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  13. C is a skew symmetric matrix of order n. X is a column matrix of order...

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  14. If A^(2)=A then (I+A)^(4)=.........

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  15. If AB=AandBA=B then A^(2)+B^(2)= ………..

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  16. If A is any square matrix then AA' is a ………. Matrix.

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  17. If A and B are square matrices of same order then (A^(-1)BA)^(n)= ………...

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  18. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

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  19. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

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  20. [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=0 then x=……...

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