Test Preparation on GATE Electronics & Communication Engineering Mathematics Paper-1
1.
2.
A is a 3 4 real matrix and Ax=B is an inconsistent system of equations. The highest possible rank of A is
3.
Multiplication of matrices E and F is G. Matrices E and G are
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7.
If a square matrix A is real and symmetric, then the Eigenvalues
(A) are always real
(B) are always real and positive
(C) are always real and non-negative
(D) occur in complex conjugate pairs
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9.
Sum of the diagonal elements = Sum of the Eigenvalues
⟹ 1 + 0 + p = 3+S
⟹ S= p 2
10.
For what value of a, if any, will the following system of equations in x, y and z have a solution
2x+3y=4
x+y+z=4
x+2y-z=a
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