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For the system of equations: x+2y+3z=1...

For the system of equations:
`x+2y+3z=1`
`2x+y+3z=2`
`5x+5y+9z=4`

A

there is only one solution

B

there exists infinitely many solution

C

there is no solution

D

none of these

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The correct Answer is:
a
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Chapter Test
  1. If {:X=[(3,-4),(1,-1)]:}, the value of X^n is equal to

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  2. If {:A=[(5,2),(3,1)]:}," then "A^(-1)=

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  3. For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

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

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  5. if A=[(4,x+2),(2x-3,x+1)] is symmetric, then x is equal to

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  6. If A+B={:[(1,0),(1,1)]:}andA-2B={:[(-1,1),(0,-1)]:}, then A is equal t...

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  7. {:[(-6,5),(-7,6)]^(-1)=:}

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  8. From the matrix equation AB=AC, we conclude B=C provided.

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  9. If I3 is the identily matrix of order 3, then (I3)^(-1)=

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  10. Let a ,b , c be real numbers. The following system of equations in x ,...

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  11. If A and B are two matrices such that A+B and AB are both defind, then

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  12. A and B are tow square matrices of same order and A' denotes the tran...

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  13. STATEMENT-1: The lines a(1)x+b(1)y+c(1)=0a(2)x+b(2)y+c(2)=0,a(3)x+b(3)...

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  14. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

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  15. If A and B ar square matrices of order 3 such that |A|=-1|B|=3, then |...

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  16. If the points (x1,y1),(x2,y2)and(x3,y3) are collinear, then the rank o...

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  17. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2...

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  18. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

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  19. If {:A=[(1,2,2),(2,3,0),(0,1,2)]and adjA=[(6,-2,-6),(-4,2,x),(y,-1,-1)...

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  20. If A is a square matrix such that A*(AdjA)=[{:(4,0,0),(0,4,0),(0,0,4):...

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