1 Crore+ students have signed up on EduRev. Have you? Download the App 
If A and B are real symmetric matrices of size n x n. Then, which one of the following is true?
Let a = (a_{ij}) be an nrowed square matrix and I_{12} be the matrix obtained by interchanging the first and second rows of the nrowed Identity matrix. Then AI_{12} is such that its first
Consider the following determinant:
Which of the following is a factor of Δ?
The following system of equations:
Has a unique solution. The only possible value(s) for a is/are
If M is a square matrix with a zero determinant, which of the following assertion(S) is (are) correct?
S_{1}: Each row of M can be represented as a linear combination of the other rows.
S_{2}: Each column of M can be represented as a linear combination of the other columns.
S_{3}: MX = O has a nontrivial solution.
S_{4}: M has an inverse.
Consider the matrix as given below:
Which one of the following options provides the CORRECT values of the eigenvalues of the matrix?
Consider the following 2 x 2 matrix A where two elements are unknown and are marked by ‘a’ and ‘b'. The eigenvalues of this matrix are 1 and 7. What are the values of ‘a’ and 'b'?
62 videos7 docs165 tests

Test: Linear Algebra Test  15 ques 
Test: Graph Theory 1 Test  10 ques 
Test: Graph Theory 2 Test  12 ques 
Test: Probability 1 Test  10 ques 
Test: Probability 2 Test  15 ques 
62 videos7 docs165 tests

Test: Linear Algebra Test  15 ques 
Test: Graph Theory 1 Test  10 ques 
Test: Graph Theory 2 Test  12 ques 
Test: Probability 1 Test  10 ques 
Test: Probability 2 Test  15 ques 