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ifx[{:(2),(3):}]+y[{:(-1),(1):}]=[{:(10)...

`ifx[{:(2),(3):}]+y[{:(-1),(1):}]=[{:(10),(5):}],`find the values of x and y.

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The correct Answer is:
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`x[{:(2),(3):}]+Y[{:(-1),(1):}]=[{:(10),(5):}],`
`implies[{:(2x),(3x):}]+[{:(-Y),(Y):}]=[{:(10),(5):}]`
`implies [{:(2x-Y),(3x+Y):}]=[{:(10),(5):}]`
`implies 2X-Y=10 .. .(1)`
`3x+Y=5 .. .(2)`
On adding,
`5x=15implies x=3`
Put x=3 in equation (2),
`3xx3+Y=5implies Y=-4`
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NAGEEN PRAKASHAN-MATRICES-Exercise 3.2
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  3. If A=[2/3 1 5/3 1/3 2/3 4/3 7/3 2 2/3] and B=[2/3 2/5 1 1/5 2/5 4/5 7/...

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  4. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

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  5. Find X and Y, if(i) X+Y=[7 0 2 5]and X-Y=[3 0 0 3](ii) 2X+3Y=[2 3 4 0]...

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  6. Find X if Y=[3 2 1 4] and 2X+Y=[1 0-3 2] .

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  7. Find X and Y,if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8...

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  8. Solve the equation for x, y, z and t, if 2[x z y t]+3[1-1 0 2]=3[3 5 4...

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  11. If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . ...

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  13. If f(x)=x^2-5x+6. Find f(A),if A=[(2,0,1),(2,1,3),(1,-1,0)].

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  15. If A A=[3-2 4-2]and I=[1 0 0 1], find k so that A^2=k A-2I.

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