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Simplify the following : cos theta [{...

Simplify the following :
`cos theta [{:(costheta,-sintheta ),(sintheta,costheta ):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]`

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The correct Answer is:
`[{:(1,0),(0,1):}]`
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NAGEEN PRAKASHAN-MATRICES-Exercise 3a
  1. if A=[{:(1,2,3),(-4,5,0):}], then (I) how many columns are in A ? ...

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  2. A=[{:(2,0,-1),(3,2,5),(-1,4,-3),(0,1,7):}],then (i) how many cloumns...

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  3. (i) A matric has 12 elements ,write all possible orders of this ...

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  4. A Matrix has elements a,b,c and d constnant the matrix formed with ...

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  5. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by:...

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  6. Construct a matrix [a(ij)](3xx3),where a(ij)=(i-j)/(i+j).

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  7. Construct a matrix [a(ij)](3xx3) , where a(ij)=2i-3j.

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  8. if A=[{:(3,-2),(7,1):}]and B=[{:(2,3),(-1,4):}],then find (i) A+B (i...

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  9. if A=[{:(1,2,-5),(-3,4,6):}]and B[{:(-2,3,-4),(1,2,3):}]' then find 2...

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  10. if A=[{:(1+i,-2i),(7,3-i):}]and B=[{:(1-i,2i),(-3,3+i):}],then find A+...

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  11. if A=[{:(4,2),(-3,2),(1,3):}]and B=[{:(-1,3),(0,2),(2,-4):}],then find...

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  12. if A=[{:(1,-4,5),(2,1,-3):}]and B=[{:(2,3,-1),(1,2,3):}]then find a m...

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  13. if A=diag [1" "3" "4],B="diag"[-2" "1" "-1],C="Diag"[3" "-1" "-2]then ...

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  14. Simplify the following : cos theta [{:(costheta,-sintheta ),(sinthe...

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  15. (i) if A+B=[{:(3,4),(-1,0):}]and A-B =[{:(1,2),(5,6):}], then find t...

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  16. if 2A -3B =[{:(4,2),(-1,0),(3,-2):}]and 3A+B=[{:(1,0),(3,5),(-1,4):}]...

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  17. Find the values of x and y from each of the following matrix equatio...

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  18. Find the values of x,y,z from the following matrix equation : [{:(x...

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  19. find the values of x, y,z from the following matrix equation : 2[{...

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  20. if A[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find A matrix ...

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