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Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C...

Let `A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)]`
Find each of the following:
`(i) A+B (ii) A-B (iii) 3A-C (iv) AB (v) BA`

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The correct Answer is:
`(i) A+B=[(3,7),(1,7)] (ii) A-B=[(1,1),(5,-3)]`
`(iii) 3A-C=[(8,7),(6,2)] (iv) AB=[(-6,26),(-1,19)] (v) BA=[(11,10),(11,2)]`
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NCERT BANGLISH-MATRICES-EXERCISE 3.2
  1. Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)] Find each of...

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  2. Compute the following: [(a,b),(-b,a)]+[(a,b),(b,a)] (ii) [(a^(2)+b...

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  3. Compute the indicated products: [(1),(2),(3)][(2,3,4)]

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  4. If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(...

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  5. If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2...

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  6. Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sint...

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  7. Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) ...

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  8. Find X, if Y=[(3,2),(1,4)] and 2X+Y=[(1,0),(-3,2)]

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  9. Find the values of x and y, if 2{:[(1,3),(0,x)]+{:[(y,0),(1,2)]={:[(...

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  10. Solve the equation for x, y, z and t, if 2[(x, y),(z,t)]+3[(1,-1),(0,2...

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  11. If x[(2),(3)]+y[(-1),(1)]=[(10),(5)], find the value of x and y.

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  12. Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)], find the value...

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  13. If f(x)={:[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] show that f(alpha)f(b...

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  14. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6...

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  15. Find A^(2)-5A+6I, if A=[(2,0,1),(2,1,3),(1,-1,0)]

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  16. If A=[(1,0,2),(0,2,1),(2,0,3)], prove that A^(3)-6A^(2)+7A+2I=0

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  17. If A={:[(3,-2),(4,-2)], find k such that A^(2)=kA-2I(2)

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  18. If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identit...

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  19. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  20. The bookshop of a particular school has 10 dozen chemistry books, 8 do...

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