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If `A` satisfies the equation `x^3-5x^2+4x+lambda=0` , then `A^(-1)` exists if (a)`lambda!=1` (b) `lambda!=2` (c) `lambda!=-1` (d) `lambda!=0`

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To determine when the inverse of matrix \( A \) exists given the equation \( x^3 - 5x^2 + 4x + \lambda = 0 \), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Given Equation:** We have the polynomial equation: \[ x^3 - 5x^2 + 4x + \lambda = 0 ...
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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
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  3. If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists ...

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  12. If A and B are invertible matrices, which of the following statemen...

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  13. If A is a square matrix such that A^2 = I, then A^(-1) is equal to (i...

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  14. Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such t...

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  15. If A=[ (2 , 3) ,( 5 ,-2 )] , then find |A|

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  19. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

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  20. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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