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Solve the matrix [{:(x,-5,-1):}][{:(1,0,...

Solve the matrix `[{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1):}]=O`.

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The correct Answer is:
`x=+-4sqrt(3)`
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ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. If A=[{:(0,6,7),(-6,0,8),(7,-8,0):}],B=[{:(0,1,1),(1,0,2),(1,2,0):}]an...

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  2. How many different matrix products can you form with these three matri...

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  3. Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...

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  4. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

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  5. If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then find the va...

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  6. If [{:(2,1,3):}][{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}]=A ...

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  7. Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3...

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  8. If A=[{:(1,0,2),(0,2,1),(2,0,3):}], then prove that A is a root of th...

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  9. Let A=[{:(2,3),(-1,2):}]andf(x)=x^(2)-4x+7 . Show that f(A)=O. Use thi...

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  10. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] , then find A^(2)-5A+6I.

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  11. If A=[{:(2,3),(1,2):}], then prove that A^(3)-4A^(2)+A=O.

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  12. If A=[{:(1,0),(-1,7):}], thenfind k such that A^(2)-8A+kI=O.

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  13. If A=[{:(3,-2),(4,-2):}], then find k such that A^(2)=kA-2I .

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  14. For the matrix A=[{:(3,1),(7,5):}] , find a and b such that A^(2)+aI...

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  15. Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that A...

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  16. A factory makes three products P,Q and R .The table shows the units of...

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  17. A manufacturer sells the products x,y and z in two markets .Annual sal...

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  18. A trust fund has Rs. 35000 is to be invested in two different types o...

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  19. If AB= BA for any two square matrices , then prove by mathematical in...

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  20. If A = diag [{:(a,b,c):}] , then show that A^(n)="diag"[{:(a^(n),b...

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