Systems of Linear Equations and Matrices Determinants Euclidean Vector Spaces General Vector Spaces Eigenvalues and Eigenvectors
100
What is No?
This answers the question of whether AB=BA, given that A and B are both matrices.
100
What is n*n?
There are this many cofactors in an n*n matrix.
100
What is the norm?
The magnitude of vector V can also be called by this 4 letter word.
100
What is 10?
There are this many axioms to confirm that a set of objects is a vector space.
100
What is false?
True or false answers whether the eigenvalues of a matrix are solely determined by the main diagonal.
200
What is R^6?
The domain of a 5*6 matrix is this.
200
What is false?
Out of true and false, this is the correct answer to the statement that the sum of the determinants of two matrices is equal to the determinant of the sum of the matrices.
200
What is the cosine?
This trignometric function can be used to calculate the dot product of 2 vectors.
200
What is the zero subspace?
This subspace only has one vector in it.
200
What is 0?
This number can't be a eigenvalue for a matrix to be invertible.
300
What is when there's a sequence of elementary row operations that transforms one matrix to the other?
Two matrices are row equivalent when this condition is true.
300
What is 2?
Out of the 3 elementary row operations, this many change the determinant.
300
What is the normal?
The coefficients in the equation of the line 5(x-1) +4(y+3) are components of this vector that is orthogonal to the line.
300
What is if every vector in one span can be written as linear combinations of the vectors in the other, and vice versa?
Two spans are equal to each other if this is true.
300
What is det(λI − A) = 0?
This formula is called the characteristic equation of matrix A.
400
What is the trace?
This is the sum of the diagonal elements of a matrix.
400
What is the adjoint?
The transpose of the matrix of cofactors of matrix A is called this.
400
What is the Cauchy–Schwarz inequality?
This inequality desrcibes the statement where the magnitude of two multiplied vectors is less than the product of the two magnitudes of the individual vectors.
400
What is the Wronskian?
If this determinant is 0, the set of differentiable functions is linearly dependent.
400
What is a similarity invariant?
This is a property that is preserved by a similarity transformation.
500
What is when they commute with each other?
This condition needs to met for the product of 2 symetric matrices to be symmetric.
500
What is (k^n)(x) OR (k^n)(det A)?
If A is an n*n matrix, and determinant A= x, det(kA) is equal to this.
500
What is the parallelpiped?
The scalar addition of 3 vectors u+v+w composes the digonal of this figure.
500
What is the column space of A?
This is the orthogonal complement to the null space of the transpose of A.
500
What is true?
Either true or false is the answer to the statement that tr(A)= tr(P^-1 AP)






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