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Consider, A=[(a,2,1),(0,b,0),(0,-3,c)], ...

Consider, `A=[(a,2,1),(0,b,0),(0,-3,c)]`, where a, b and c are the roots of the equation `x^(3)-3x^(2)+2x-1=0`. If matric B is such that `AB=BA, A+B-2I ne O` and `A^(2)-B^(2)=4I-4B`, then find the value of det. (B)

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To solve the problem step by step, we will follow the given information and derive the necessary equations. ### Step 1: Identify the roots of the polynomial The roots \( a, b, c \) are given as the roots of the polynomial equation: \[ x^3 - 3x^2 + 2x - 1 = 0 \] We can use Vieta's formulas to find the relationships between the roots: ...
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CENGAGE ENGLISH-MATRICES-Single correct Answer
  1. Consider, A=[(a,2,1),(0,b,0),(0,-3,c)], where a, b and c are the roots...

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  2. If A=[{:(0,c,-b),(-c,0,a),(b,-a,0):}]and B=[{:(a^(2),ab,ac),(ab,b^(2),...

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  3. If the value of prod(k=1)^(50)[{:(1,2k-1),(0,1):}] is equal to [{:(1,r...

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  4. A square matrix P satisfies P^(2)=I-P, where I is identity matrix. If ...

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  5. A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A...

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  6. If matrix A=[a(ij)](3xx), matrix B=[b(ij)](3xx3), where a(ij)+a(ji)=0 ...

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  7. If A({:(1,3,4),(3,-1,5),(-2,4,-3):})=({:(3,-1,5),(1,3,4),(+4,-8,6):}),...

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  8. Let A=[{:(-5,-8,-7),(3,5,4),(2,3,3):}] and B=[{:(x),(y),(2):}]. If AB ...

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  9. A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in N for some matrix M, then whi...

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  10. If A=[a(ij)](mxxn) and a(ij)=(i^(2)+j^(2)-ij)(j-i), n odd, then which ...

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  11. |A-B| ne 0, A^(4)=B^(4), C^(3)A=C^(3)B, B^(3)A=A^(3)B, then |A^(3)+B^(...

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  12. If AB+BA=0, then which of the following is equivalent to A^(3)-B^(3)

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  13. A,B,C are three matrices of the same order such that any two are symme...

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  14. If A and P are different matrices of order n satisfying A^(3)=P^(3) an...

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  15. Let A, B are square matrices of same order satisfying AB=A and BA=B th...

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  16. The number of 2xx2 matrices A, that are there with the elements as rea...

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  17. If the orthogonal square matrices A and B of same size satisfy detA+de...

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  18. If A=[[cos theta , sin theta],[sin theta,-costheta]], B = [[1,0],[-1,1...

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  19. Let A be a 3xx3 matrix given by A=(a(ij))(3xx3). If for every column v...

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  20. Let A and B be two non-singular matrices such that A ne I, B^(2) = I...

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  21. Let A be a 2xx3 matrix, whereas B be a 3xx2 amtrix. If det.(AB)=4, the...

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