Linear Algebra Quiz Challenge

Froggy Jumps

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Test your linear algebra chops.

Créé par

SHIVAM JAVALE

India

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Linear Algebra Quiz Challenge


Froggy Jumps Linear Algebra Quiz ChallengeVersion en ligne Test your linear algebra chops. par SHIVAM JAVALE 1 What determines if a set of vectors is linearly independent? a They form a basis b Only the zero combination gives all zeros c They are all unit vectors 2 If AB is defined, what must be true for matrix multiplication to be possible? a Number of columns of A equals number of rows of B b A and B must be square c A must be invertible 3 The determinant of a matrix is zero when the matrix is: a Invertible b Diagonal with distinct entries c Singular 4 Eigenvalues are scalars λ that satisfy which equation? a Aλ = I b A + λI = 0 c Det(A - λI) = 0 5 What is the rank of a matrix? a Number of eigenvalues b Minimum number of nonzero rows c Maximum number of linearly independent rows (or columns) 6 A linear transformation that preserves origin is defined by which? a A nonlinear map b A scalar multiplication only c A matrix acting on vectors 7 If a matrix A is invertible, what is det(A)? a Nonzero b Zero c One only if A is orthogonal 8 Which operation preserves the dot product of two vectors? a Scaling one vector b Orthogonal projection c Non-orthogonal basis change 9 What does an orthonormal basis consist of? a Any basis with equal norms b Linearly dependent vectors c Vectors that are mutually orthogonal and unit length 10 In a system Ax = b, if b is in the column space of A, what is true? a A solution x exists b No solution exists c A must be square but not invertible

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Linear Algebra Quiz Challenge

Froggy Jumps

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Linear Algebra Quiz ChallengeVersion en ligne

par SHIVAM JAVALE

What determines if a set of vectors is linearly independent?

If AB is defined, what must be true for matrix multiplication to be possible?

The determinant of a matrix is zero when the matrix is:

Eigenvalues are scalars λ that satisfy which equation?

What is the rank of a matrix?

A linear transformation that preserves origin is defined by which?

If a matrix A is invertible, what is det(A)?

Which operation preserves the dot product of two vectors?

What does an orthonormal basis consist of?

In a system Ax = b, if b is in the column space of A, what is true?