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From the matrix equation AB = AC we can ...

From the matrix equation AB = AC we can conclude B = C provided that

A

A is singular

B

A is non-singular

C

A is symmetric

D

A is square

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B
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OBJECTIVE RD SHARMA-MATRICES-Chapter Test
  1. If {:A+B=[(1,0),(1,1)]andA-2B=[(-1,1),(0,-1)]:}," then "A=

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  2. {:[(-6,5),(-7,6)]^(-1)=:}

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  3. From the matrix equation AB = AC we can conclude B = C provided that

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

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  5. Let a, b, c be positive real numbers. The following system of equation...

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

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

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  8. Consider the system of equations a1x+b1y+c1z=0 a2x+b2y+c2z=0 a3...

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

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  10. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

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

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

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  13. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

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  14. 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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  15. If A is a square matrix such that {:A(adjA)=[(4,0,0),(0,4,0),(0,0,4)]:...

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  16. If n is a natural number. Then {:[(2,-1),(3,-2)]^n:}, is

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  17. If x^2+y^2+z^2 ne0, x=cy+bz,y=az+cxandz=bx+ay" then "a^2+b^2+c^2+2abc=

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  18. If A is a singular matrix, then A (adj A) is a

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  19. If {:A=[(0,1),(1,0)]:},I is the unit matrix of order 2 and a, b are a...

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  20. If {:A=[(cos theta,-sintheta),(sintheta,costheta)]:}, then which one o...

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