A matrix which represents a linear transformation \(T: \mathbb{R}^2 \to \mathbb{R}^3\) has dimensions ...

There is no matrix representation for such a transformation.

Which of the following are elementary row operations?

Multiplying each entry in the row by a nonzero constant

Interchanging the position of two rows

Replacing a row with the sum of itself and a multiple of another row

Rearranging the order of the entries within a row

Replacing a row with the sum of two other rows

Adding a nonzero constant to each entry in a row

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Clint Givens 5 questions 3.0 (2 ratings)

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1A matrix has determinant zero if and only if it is ...
1. Asingular
2. Binvertible
3. Csquare
4. Ddiagonal
2A matrix which represents a linear transformation \(T: \mathbb{R}^2 \to \mathbb{R}^3\) has dimensions ...
1. A2x3
2. B3x2
3. C2x3 or 3x2
4. D3x3
5. E2x2
6. F2x2 or 3x3
7. GThere is no matrix representation for such a transformation.
3A linear system of two equations with three unknowns could have ...
1. Ano solutions
2. Bexactly one solution
3. Cinfinitely many solutions
4Which of the following are possible values for the rank of a 3x5 matrix?
1. A1
2. B3
3. C4
4. D5
5. E8
6. F15
5Which of the following are elementary row operations?
1. AMultiplying each entry in the row by a nonzero constant
2. BInterchanging the position of two rows
3. CReplacing a row with the sum of itself and a multiple of another row
4. DRearranging the order of the entries within a row
5. EReplacing a row with the sum of two other rows
6. FAdding a nonzero constant to each entry in a row

Description: This quiz tests your detailed understanding of concepts and results in elementary linear algebra.
Author: Clint Givens
Language: English
Views: 381
Tags: linear algebra matrices
Rating: 3.0 out of 5 · 2 ratings
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