This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 1 based on Inverse of a matrix. Let’s give it a try !! Problem- ISI MStat PSB 2006 Problem 1 Let A and B be two invertible \( n \times n\) real matrices. Assume that \( A+B\) is invertible....

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 2 based on Rank of a matrix. Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 2 Let \(A\) and \(B\) be \( n \times n\) real matrices such that \( A^{2}=A\) and \( B^{2}=B\)Suppose...

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 1 based on Determinant and Eigen values and Eigen vectors . Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 1 Let \( A\) be a \( 2 \times 2\) matrix with real entries such that \(...

This is a very beautiful sample problem from ISI MStat PSB 2005 Problem 1. It is based on some basic properties of upper triangular matrix and diagonal matrix, only if you use them carefully. Give it a thought! Problem- ISI MStat PSB 2005 Problem 1 Let \(A\) be a \(n...

This is a very beautiful sample problem from ISI MStat PSB 2014 Problem 1 based on Vector space and Eigen values and Eigen vectors . Let’s give it a try !! Problem- ISI MStat PSB 2014 Problem 1 Let \(E={1,2, \ldots, n},\) where n is an odd positive integer. Let...

This is a very beautiful sample problem from ISI MStat PSB 2010 Problem 1 based on Matrix multiplication and Eigen values and Eigen vectors . Let’s give it a try !! Problem- ISI MStat PSB 2010 Problem 1 Let \(A\) be a \(4 \times 4\) matrix with non-negative...