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Linear Algebra

26:

For the following set of simulataneous equations:
1.5x - 0.5y = 2
4x + 2y + 3z = 9
7x+ y + 5z = 10

 A. solution is unique B. infinitely many solutions exist C. equations are incompatible D. finite number of multiple solutions exists
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27:

If matrix A is m x n and B is nx p, then number of multiplication operations and addition operations needed to calculate the matrix AB, respectively are

 A. mn2p,mpn B. mpn,(n-1) C. mpn,mpn D. mn2p, (m+p)n
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28:

The solution(s) to the equations
2x + 3y = 1
x- y = 4
4x - y = R
will exist if a is equal to

 A. -33 B. 0 C. 9 D. 12
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29:

Eigen values of the matrix

 -1 4 4 -1

are

 A. 3 and -5 B. -3 and 5 C. -3 and -5 D. 3 and 5
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1 2 3 4 5 6

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