Linear Algebra Quiz

Descrição

This quiz tests your detailed understanding of concepts and results in elementary linear algebra.
Clint Givens
Quiz por Clint Givens, atualizado more than 1 year ago
Clint Givens
Criado por Clint Givens mais de 10 anos atrás
227
3

Resumo de Recurso

Questão 1

Questão
A matrix has determinant zero if and only if it is ...
Responda
  • singular
  • invertible
  • square
  • diagonal

Questão 2

Questão
A matrix which represents a linear transformation \(T: \mathbb{R}^2 \to \mathbb{R}^3\) has dimensions ...
Responda
  • 2x3
  • 3x2
  • 2x3 or 3x2
  • 3x3
  • 2x2
  • 2x2 or 3x3
  • There is no matrix representation for such a transformation.

Questão 3

Questão
A linear system of two equations with three unknowns could have ...
Responda
  • no solutions
  • exactly one solution
  • infinitely many solutions

Questão 4

Questão
Which of the following are possible values for the rank of a 3x5 matrix?
Responda
  • 1
  • 3
  • 4
  • 5
  • 8
  • 15

Questão 5

Questão
Which of the following are elementary row operations?
Responda
  • 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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