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[{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(...

`[{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}]` then the value of `x,y` is

A

x =3,y=1

B

x=2,y=3

C

x=2,y=4

D

x=3,y=3

Text Solution

Verified by Experts

The correct Answer is:
B
We have, `4x=x+6rArrx=2`
and `4x=7y-13rArr8=7y-13`
`rArr 7y=21 rArr y=3`
`therefore x+yuu=2+3=5`
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NCERT EXEMPLAR-MATRICES-Matrices
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  2. Total number of possible matrices of order 3xx3 with each entry 2 or 0...

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  3. [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...

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  4. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

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  5. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

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  6. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

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  7. If matrix A=[a(ij)](2X2), where a(ij)={[1,i!=j],[0,i=j]}, then A^2 i...

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  8. The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

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  9. The matrix [{:(0,-5,8),(5,0,12),(-8,-12,0):}] is a

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  10. If A is matrix of order mxxn and B is a matrix such that AB' and B'A ...

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  11. if A and B are matrices of same order, then (AB'-BA') is a 1) null mat...

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  12. If A is a square matrix such that A^(2)= I, then (A-I)^(3)+(A+I)^(3)...

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  13. For any two matrices A and B , we have

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  14. On usign elementry column operation C(2)rArrC(2)-2C(1) in the followin...

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  15. On using row operation R(1)rArrR(1)-3R(2) in the following matrix equa...

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  16. ......... Matrix is both symmetric and skew-symmetric matrix.

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  17. Sum of two skew-symmetric matrices is always ......... Matrix.

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  18. The negative of a matrix is obtained b y multiplying it by ...........

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  19. The product of any matrix by the scalar ......... Is the null matrix.

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  20. A matrix which is not a square matrix is called a..........matrix.

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