Mathematics - Vectors and Matrices
Linear Algebra GATE Syllabus
Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition.
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- Option : D
- Explanation : Determinant A = 0
⇒
Hence rank of A=34 2 3 1 0 0 4 0 3
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- Option : A
- Explanation : x=A-1b
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- Option : B
- Explanation : The system of homogeneous linear equations has a non-trivial solution if
=> -(4d-1)2 = 0 => d = 1/44d-1 1 1 0 -1 1 0 0 4d-1 = 0
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- Option : B
- Explanation :
Let A = a1 b1 c1 ; B = a2 b2 c2 ; ∴ C = a1a2 a1b2 a1c2 b1a2 b1b2 b1c2 c1a1 c1b2 c1c2
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5. If A and B are square matrices of size n x n, then which of the following statement is not true?
- Option : C
- Explanation :
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