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Compute the indicated products : (1) ...

Compute the indicated products :
(1) `[{:(3,-1,4),(2,3,1):}][{:(1,3,4),(2,1,0),(-3,2,3):}]`
(2) `[{:(1,3),(2,1):}][{:(4),(-1):}]`
(3) `[{:(1,4,2),(5,-2,3):}][{:(2,-4),(1,-3),(4,0):}]`
(4) `[1" "2," "3][{:(2),(4),(6):}]`
(5) `[{:(2),(4),(6):}][1" "2," "3]`

Text Solution

Verified by Experts

The correct Answer is:
(1) `[{:(-11,16,24),(5,11,11):}]`
(2) `[{:(1),(7):}]`
`[{:(14,-16),(20,-14):}]`
`[28]`
(5) `[{:(2,4,6),(4,8,12),(6,12,18):}]`
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KUMAR PRAKASHAN-MATRICES -PRACTICE WORK
  1. Find the value of a,b,c,x,y and z. [{:(x+3,z+4,2y-7),(4x+6,a-1,0),(...

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  2. Let A=[{:(2,-1),(4,2):}]B=[{:(4,3),(-2,1):}]andC=[{:(-2,-3),(-1,2):]] ...

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

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  4. If A=[{:(1,-1),(0,2),(2,3):}]andB=[{:(1,0),(-1,7):}] then find AB. Al...

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  5. A=[{:(1,-2,3),(-4,2,5):}]andB=[{:(2,3),(4,5),(2,1):}] then find AB and...

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  6. Compute : [{:(1,-1),(0,2),(2,3):}]([{:(1" "0" "2),(2" "0" "1):}]-[{:(0...

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  7. Find X and Y,if X+Y=[{:(5,2),(0,9):}]andX-Y=[{:(3,6),(0,-1):}].

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  8. If A+B=[{:(4,3,2),(4,1,7),(3,2,0):}]andA-B=[{:(6,1,4),(-4,3,9),(5,8,2)...

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  9. If Y=[{:(4,3),(2,5):}]and3X-Y=[{:(5,0),(1,1):}] then find X.

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  10. If f(x)=x^(2)-2x then find f(A) where A=[{:(0,1,2),(4,5,0),(0,2,3):}]...

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  11. Solve : [{:(x^(2)),(y^(2)):}]+2[{:(2x),(3y):}]=3[{:(7),(-3):}].

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  12. A=[{:(1,4),(3,2),(2,5):}]andB=[{:(-1,2),(0,5),(3,1):}] then find the ...

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

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  14. If A=[{:(1,0),(-1,7):}]andA^(2)=8A+KI then find K.

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  15. Prove that , {[{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,...

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  16. If A=[{:(1,alpha),(0,1):}] then by the principle of mathematical indu...

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  17. If A=[{:(0,1,2),(2,-3,0),(1,-1,0):}]andf(x)=x^(3)+4x^(2)-x, then find ...

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  18. If A=[{:(2,3,-4),(5,1,0),(3,-2,5):}]andI=[{:(1,0,0),(0,1,0),(0,0,1):}]...

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  19. Three friends Ram , Shyam and Rahul went to a shop .Ram purchased 12 d...

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  20. Two farmers Ramkishan and Gurpreet singh cultivates only three varieti...

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