MTH501 Quiz 2 December 2025

Quiz 1 - MTH501

Question:

Cylindrical coordinate system is also called as___________

A. Rectangular coordinate system. B. Spherical coordinate system. C. Space coordinate system. D. Circular coordinate system. Copied: 12/28/2025, 4:40:12 PM

Quiz 2 - MTH501

Question:

The set of unit vectors i,j,ki,j,k{i,j,k}form a basis of

A. RRR B. R4R4R^4 C. R2R2R^2 D. R3R3R^3 Copied: 12/28/2025, 4:40:28 PM

Quiz 3 - MTH501

Question:

If vector space is not spanned by a finite set of vectors, then V is said to be --------

A. Infinite-dimensional · Quiz 6 - MTH501 · Question:

If A and B are row equivalent matrices, then (a) A given set of column vectors of A is ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬_______________if and only if the corresponding column vectors of B are __________________.

A. Linearly dependent, linearly dependent B. Linearly dependent, linearly independent

C. Linearly independent, linearly independent

D. Linearly independent, linearly dependent Copied: 12/28/2025, 4:41:19 PM

Quiz 7 - MTH501

Question:

The pivot columns of a matrix AAA form a basis for -----------

A. RowARowARowA B. ColAColAColA Copied: 12/28/2025, 4:41:39 PM

Quiz 8 - MTH501

Question:

The act of changing A into P^-1 AP is called a similarity transformation

A. False

B. True

Copied: 12/28/2025, 4:41:50 PM

Quiz 9 - MTH501

Question:

The determinant of identity matrix is?

1. 0
2. Depends on the matrix
3. 1
4. None of the mentioned

Correct answer: 1

Copied: 12/28/2025, 4:42:05 PM

Quiz 10 - MTH501

Question:

If two matrices A and B are row equivalent matrices, then which of the following is true

A. None of these is true B. a given set of column vectors of A is linearly independent if and only if the corresponding column vectors of B are exactly same. C. a given set of column vectors of A is linearly independent if and only if the corresponding column vectors of B are linearly independent. D. a given set of column vectors of A is linearly dependent if and only if the corresponding column vectors of B are linearly dependent. Copied: 12/28/2025, 4:42:15 PM