Question

hey wht if two out of three eigen values corresponding to a given matrix A are same. Can we directly conclude tht the eigen vectors aint diagonalisable??

Answer 1

Diagonalizability can fail only if there are repeated eigenvalues. However, matrices
with repeated eigenvalues may still be diagonalizable ( ex: identity matrix, situations when we have a p dimensional eigenspace corresponding to an eigenvalue with multiplicity p)

Answer 2

so its obvious tht if two eigen values r same then the two eigen vectors corresponding to those values will be same :))
thanks @akitav

Answer 3

@ganeshie8

Answer 4

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Answer 5

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Answer 6

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F

He

S

Answer 7

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Answer 8

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Answer 9

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Answer 10

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Answer 11

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Volume
Density

Answer 12

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Volume
Density

Answer 13

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Answer 14

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A.2/3x^-2+x+1
B.x^3+0x^2+2x+sqrt2
C.x^2/5+sqrt3x+1
D.2/x^3+x+1/2
E. x^-2+x+1

Answer 15

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Answer 16

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Answer 17

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Answer 18

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Answer 19

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Answer 20

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Answer 21

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Answer 22

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Answer 23

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