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Linear Algebra ( NET ) | Practice Problem with solution


PRACTICE PROBLEMS ON LINEAR ALGEBRA


CSIR NET MATHEMATICAL SCIENCE

IIT JAM

LINEAR ALGEBRA

PROBLEMS BASED ON TRACE ,RANK , NULLITY , DETERMINANT, LINEAR TRANSFORMATION, FINDING BASIS OF A VECTOR SPACE, NULL SPACE, RANGE SPACE,  SYMMETRIC AND SKEW- SYMMETRIC MATRICES, HERMITIAN AND SKEW- HERMITIAN MATRICES, IDEMPOTENT MATRIX, INVOULTORY MATRIX, NILPOTENT MATRIX, DIGITALISATION OF A MATRIX



PROBLEM#1 LINEAR ALGEBRA
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PROBLEM#2.  LINEAR ALGEBRA

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PROBLEM#3 and #4  LINEAR ALGEBRA

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PROBLEM#5 and #6   LINEAR ALGEBRA


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PROBLEM#7 LINEAR ALGEBRA



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PROBLEM#8  LINEAR ALGEBRA


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PROBLEM#9  LINEAR ALGEBRA


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PROBLEM#10 and 11.  LINEAR ALGEBRA


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PROBLEM#12  LINEAR ALGEBRA



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 PROBLEM#13. LINEAR ALGEBRA


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PROBLEM#14.  LINEAR ALGEBRA


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PROBLEM#15.   LINEAR ALGEBRA

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PROBLEM#16.   LINEAR ALGEBRA

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 PROBLEM#17.   LINEAR ALGEBRA

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PROBLEM#18.   LINEAR ALGEBRA

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PROBLEM#19.   LINEAR ALGEBRA

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PROBLEM#20 and 21 .   LINEAR ALGEBRA

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PROBLEM#22 and 23.   LINEAR ALGEBRA

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PROBLEM#24 and 25.   LINEAR ALGEBRA


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PROBLEM#26.   LINEAR ALGEBRA

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PROBLEM#27 and 28.   LINEAR ALGEBRA

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PROBLEM#29 .   LINEAR ALGEBRA


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