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Construct a 3xx2 matrix whose elements a...

Construct a `3xx2` matrix whose elements are given by `a_(ij)=e^(i.x)-sinjx`.

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To construct a \(3 \times 2\) matrix whose elements are defined by \(a_{ij} = e^{ix} - \sin(jx)\), we will follow these steps: ### Step 1: Understand the Matrix Structure A \(3 \times 2\) matrix has 3 rows and 2 columns. The elements of the matrix can be represented as follows: \[ \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \\ ...
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. In the matrix A=[{:(a,1,x),(2,sqrt(3),x^(2)-y) ,(0,5,(-2)/(5)):}] wri...

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  2. Construct a(2xx2) matrix, where (i) a(ij)=((i-2j)^(2))/(2) (ii) a(ij...

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  3. Construct a 3xx2 matrix whose elements are given by a(ij)=e^(i.x)-sinj...

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  4. Find the values of a\ a n d\ b if A=B , where A=[a+4 3b8-6] , B=[2a+2b...

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  5. If possible find the sum of the matrics A and B, where A=[{:( sqrt(3...

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  6. If X=[{:( 3,1,-1) ,(5,-2,-3) :}] "and" Y= [{:( 2,1,-1),( 7,2,4):}] the...

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  7. Find non-zero values of x satisfying the matrix equation. x[{:(2x,2)...

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  8. If A=[{:(0,1),(1,1):}] "and" B=[{:(0,-1),(1,0):}], then show that ...

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  9. Find the value of x, if [1x1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),...

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  10. Show that A=[(5, 3),(-1,-2)] satisfies the equation x^2-3x-7=0 . Thus,...

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  11. if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

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  12. FindA, if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

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  13. If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1...

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  14. If A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Find AB and B...

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  15. Give an example of two non-zero 2xx2 matrices A and B such that A B...

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  16. Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}], is (AB)...

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  17. Solve for x and y , x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0.

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  18. If X and Y are 2xx2 matrices, then solve the following matrix equat...

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  19. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

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  20. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

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