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Find non-zero values of x satisfying the...

Find non-zero values of `x` satisfying the matrix equation: `x[(2x,2),(3,x)]+2[(8,5x),(4,4x)]=2[(x^2+8,24),(10,6x)]`

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To solve the matrix equation \[ x \begin{pmatrix} 2x & 2 \\ 3 & x \end{pmatrix} + 2 \begin{pmatrix} 8 & 5x \\ 4 & 4x \end{pmatrix} = 2 \begin{pmatrix} x^2 + 8 & 24 \\ 10 & 6x \end{pmatrix}, \] we will follow these steps: ...
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CENGAGE ENGLISH-MATRICES-ILLUSTRATION
  1. Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If A, B are square materices of same order and B is a skewsymmetric ma...

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  17. If a and B are square matrices of same order such that AB+BA=O, then p...

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  18. Let A=[(1,2),(-1,3)] .If A^6=kA-205I then then numerical quantity of...

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  19. Let A, B, C, D be (not necessarily square) real matrices such that A^T...

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  20. If A and B are square matrices of the same order such that A B = B A,...

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