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If {:((2,3),(p,1)):}{:((5,2),(-4,6)):}={...

If `{:((2,3),(p,1)):}{:((5,2),(-4,6)):}={:((-2,q),(16,r)):}`, then 2p+r=

A

q

B

21

C

2q

D

q-r

Text Solution

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The correct Answer is:
A

(i) Equate the corresponding elements on both sides.
(ii) Find the product of the two matrices which are on LHS.
(iii) Equate the corresponding elements and get the values p,q and r, then find 2p+r.
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PEARSON IIT JEE FOUNDATION-MATRICES-CONCEPT APPLICATION LEVEL 1
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  3. If {:[(p),(q),(r)]:}andB={:[(3,4,5)]:}, then AB is

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  4. If the orders of matrices A^(T),BandC^(T)" are "3xx4,2xx3and1xx2 respe...

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  5. A is a 2xx2 matrix, such that A={:[(a(ij))]:}, where a(ij)=2i-j+1. The...

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  8. If A={:((4,3),(-5,2)):}, then A^(2)-6A =

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  9. If A={:((1,5),(3,6)):}and=((34)/(39)), then find the matrix X such tha...

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  10. If {:((2,3),(p,1)):}{:((5,2),(-4,6)):}={:((-2,q),(16,r)):}, then 2p+r=

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  11. If A={:((2,-2),(-2,2)):},B={:((5,3),(-7,2)):}and=C={:((4,2),(-8,1)):} ...

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  12. A={:[(-5,-3,4),(3,2,-4)]:}andB={:[(-4,5,-2),(3,1,5)]:}, then find X s...

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  13. If A+B={:[(7,6),(-3,2)]:}andA-B={:[(1,2),(3,6)]:}, then find A.

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  14. If B-A^(T)={:[(3,4,-2),(5,-3,7)]:}andB^(T)+A={:[(2,0),(5,-1),(3,4)]:},...

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  15. If 2A-3B={:((-27,4,5),(7,6,-15)):}and5A-2B={:((-40,-1,18),(12,15,-21))...

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  16. If A={:[(-1,2),(3,4)]:}andB=A^(T)," then "A^(T)+B^(T)=

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  17. A(x)={:[(0,0,x),(0,0,0)]:} then find the maximum number of possibiliti...

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  18. If A-2B={:[(3,6),(7,6)]:}andA-3B={:[(2,6),(7,5)]:}, then the matrix A ...

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  19. Which of the following matrices satisfies the equation A^(2)+A=O ?

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  20. If A={:[(3,2,7),(1,1,4),(-1,-1,0)]:},B={:[(1,0,3),(2,1,0),(0,-1,-3)]:}...

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