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Verify the property A(B+C) = AB+AC, when...

Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are given by
`A=[(2,0,-3),(1,4,5)],B=[(3,1),(-1,0),(4,2)],and C=[(4,7),(2,1),(1,-1)]`.

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FULL MARKS-MODEL TEST PAPER-PART-IV
  1. Show that the points (1, 3), (2, 1) and (1/2, 4) are collinear, by usi...

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  2. The sum of the distance of a moving point from the points (4,0) and (-...

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  3. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

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  4. Show that the vector veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec...

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  5. Evaluate int (cos2x)/((sin x + cos x)^(2))dx.

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  6. Evaluate int sin^(-1) xdx.

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  7. Evaluate Lim(x rarr pi/4) (4sqrt(2)-(cos x + sin x)^(5))/(1-sin 2 x)

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  8. Suppose the chances of hitting a target by a person X is 3 times in 4 ...

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  9. Find the range of the function (1)/(2cosx-1).

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  10. If the equations x^(2) - ax + b = 0 and x^(2) - ex + f = 0 have one ro...

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  11. Prove that cos theta + cos ((2pi)/(3)- theta)+ cos ((2pi)/(3)+ theta)=...

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  12. Using Binomial theorem, prove that 6^(n)-5n always leaves remainder 1 ...

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  13. If .^(n+2) C(8) : ^((n-2)) P(4) = 57: 16 , find the value of n.

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  14. Show that the points (1, 3), (2, 1) and (1/2, 4) are collinear, by usi...

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  15. The sum of the distance of a moving point from the points (4,0) and (-...

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  16. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

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  17. Show that the vector veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec...

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  18. Evaluate int (cos2x)/((sin x + cos x)^(2))dx.

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  19. Evaluate int sin^(-1) xdx.

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  20. Evaluate : lim(x to pi/4)(4sqrt2-(cosx+sinx)^5)/(1-sin 2x)

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