MTH501 Quiz by Masoom Fairy

Q1. of 10 ( Start time: 08:24:19 PM ) Total Marks: 1

Two vectors u and v are orthogonal to each other if ___________.

u . v = 0

u . v = 1 u + v = 0 u - v = 0

Q2. of 10 ( Start time: 08:25:33 PM ) Total Marks: 1

If the columns of a matrix are linearly independent then the matrix is ________.

invertible (A) is invertible if A has linearly independent columns in Matrics. symmetric antisymmetric singular

Q3. of 10 ( Start time: 08:27:06 PM ) Total Marks: 1

If the columns of a matrix are ______ then the matrix is invertible.

linearly independent (A) is invertible if A has linearly independent columns in Matrics. linearly dependent

Q4. of 10 ( Start time: 08:28:38 PM ) Total Marks: 1

An n x n matrix A is _______ if and only if A has n linearly independent vectors.

diagonalizable

singular not sure

symmetric scalar

Q7. of 10 ( Start time: 08:31:46 PM ) Total Marks: 1

Two vectors are _______if at least one of the vector is a multiple of the other

linearly independent Page no 89

linearly dependent

Q8. of 10 ( Start time: 08:32:49 PM ) Total Marks: 1

An n x n matrix with n distinct eigen values is diagonalizable.

TRUE Page no 402

FALSE

Q9. of 10 ( Start time: 08:33:50 PM ) Total Marks: 1

2x – 3y = –2 4x + y = 24 The above system has a ______ solution.

inconsistant

many unique trivial

Q10. of 10 ( Start time: 08:35:02 PM ) Total Marks: 1

An n x n matrix A is ___ if and only if 0 is not an eigen value of A.

invertible In invertible Matrix Theorem.. The n × n matrix A is invertible if and only if 0 is not an eigenvalue of A singular symmetric scalar