Froggy Jump : Matrix Quiz

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MAT 242 questions

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Yaj Kotak

United States

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Froggy Jumps Froggy Jump : Matrix QuizOnline version MAT 242 questions by Yaj Kotak 1 Which method is used to solve a system of linear equations by eliminating variables using row operations? a Matrix multiplication b Gaussian elimination c Diagonalization 2 A system of linear equations has infinitely many solutions when: a The augmented matrix has a contradictory row b Every variable has a pivot c At least one variable is free 3 What is the defining property of an inverse matrix A^(-1)? a A + A^(-1) = I b A − A^(-1) = 0 c A A^(-1) = I 4 The determinant of a matrix being zero indicates that the matrix: a Is diagonalizable b Has full rank c Is singular 5 A set of vectors is linearly independent if: a One vector can be written as a combination of others b The only solution to c1v1 + c2v2 + … = 0 is all ci = 0 c The zero vector is included 6 A basis for a vector space must be: a Orthogonal and normalized b Square and invertible c Linearly independent and spanning 7 The column space of a matrix consists of: a All possible row vectors b All linear combinations of the columns c All solutions to Ax = 0 8 An eigenvector of a matrix A is a nonzero vector v such that: a Av = lambda v b Av = 0 c Av = v 9 A matrix is diagonalizable if: a Its determinant is zero b It has enough linearly independent eigenvectors c It is square 10 The Gram–Schmidt process is used to: a Find eigenvalues b Solve linear systems c Convert a basis into an orthogonal basis

Froggy Jumps

Froggy Jump : Matrix QuizOnline version

MAT 242 questions

by Yaj Kotak

Which method is used to solve a system of linear equations by eliminating variables using row operations?

Matrix multiplication

Gaussian elimination

Diagonalization

A system of linear equations has infinitely many solutions when:

The augmented matrix has a contradictory row

Every variable has a pivot

At least one variable is free

What is the defining property of an inverse matrix A^(-1)?

A + A^(-1) = I

A − A^(-1) = 0

A A^(-1) = I

The determinant of a matrix being zero indicates that the matrix:

Is diagonalizable

Has full rank

Is singular

A set of vectors is linearly independent if:

One vector can be written as a combination of others

The only solution to c1v1 + c2v2 + … = 0 is all ci = 0

The zero vector is included

A basis for a vector space must be:

Orthogonal and normalized

Square and invertible

Linearly independent and spanning

The column space of a matrix consists of:

All possible row vectors

All linear combinations of the columns

All solutions to Ax = 0

An eigenvector of a matrix A is a nonzero vector v such that:

Av = lambda v

Av = 0

Av = v

A matrix is diagonalizable if:

Its determinant is zero

It has enough linearly independent eigenvectors

It is square

The Gram–Schmidt process is used to:

Find eigenvalues

Solve linear systems

Convert a basis into an orthogonal basis

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Froggy Jump : Matrix Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Froggy Jump : Matrix QuizOnline version

by Yaj Kotak

Which method is used to solve a system of linear equations by eliminating variables using row operations?

A system of linear equations has infinitely many solutions when:

What is the defining property of an inverse matrix A^(-1)?

The determinant of a matrix being zero indicates that the matrix:

A set of vectors is linearly independent if:

A basis for a vector space must be:

The column space of a matrix consists of:

An eigenvector of a matrix A is a nonzero vector v such that:

A matrix is diagonalizable if:

The Gram–Schmidt process is used to:

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