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Find the values of x for which matrix [(...

Find the values of x for which matrix `[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` is singular.

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To find the values of \( x \) for which the matrix \[ A = \begin{pmatrix} 3 & -1+x & 2 \\ 3 & -1 & x+2 \\ x+3 & -1 & 2 \end{pmatrix} ...
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CENGAGE ENGLISH-MATRICES-ILLUSTRATION
  1. For what values of x and y are the following matrices equal ? A=[(2x...

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  2. For alpha, beta, gamma in R, let A=[(alpha^(2),6,8),(3,beta^(2),9),(...

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  3. Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2...

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  4. If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),(1,-5),(4,3)], then find D=[(p...

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  5. A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I, find t...

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  6. Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...

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  7. If A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2Bdot

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  8. Find non-zero values of x satisfying the matrix equation: x[(2x,2),(3,...

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  9. Let A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,...

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  10. If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2)...

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  11. Prove that every square matrix can be uniquely expressed as the sum of...

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  12. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

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

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  14. Find the value of x and y that satisfy the equations [(3,-2),(3,0),(2,...

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  15. Find the values of x ,\ \ y\ ,\ z if the matrix A=[0 2y z x y-z x-y z]...

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  16. If A=[costhetasintheta-sinthetacostheta], then prove that A^n=[cosnthe...

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  17. If A=((p,q),(0,1)), then show that A^(8)=((p^(8),q((p^(8)-1)/(p-1))),(...

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  18. Let A=[(2,1),(0,3)] be a matrix. If A^(10)=[(a,b),(c,d)] then prove th...

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  19. Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(...

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  20. Let a be square matrix. Then prove that A A^(T) and A^(T) A are symmet...

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