MTH501 Quiz No.1 Shared by Shama

Any matrix A and its transpose have the same determinant.

True

false

If M is a square matrix having two rows equal then which of the following about the determinant of the matrix is true?

If M=[3] then which of the following is the determinant of the matrix M?

3

[3]

M

1

If a matrix equation is solved using the Jacobi’s method, then which of the following is true about its main diagonal?

If a matrix A is factorized into lower and upper triangular matrices , then which of the following is true for the matrix?

LU decomposition

LU matrix

What is the maximum possible number of pivots in a 6x6 matrix ?

 O

 2

 4

 6

By using determinants, we can easily check that the solution of the given system of linear equation exits and it is unique.

True

false

If A is a square matrix, then the Minor of entry ith row and jth column is to be the determinant of the sub matrix that remains when the ith row and jth column of A are:

Added

 Deleted

 Multiply

 divide

|A|.|B| = |A.B|

True

false

If two rows or columns of a square matrix are identical, then det (A)wil be _______.

Zero

Non zero

 positive