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What are eigenvalues and eigenvectors?
An eigenvector is a vector which, when transformed by a given matrix, is merely multiplied by a scalar constant; its direction isn't changed. An eigenvalue, in this context, is the factor by which the eigenvector is multiplied when transformed.
What is the matrix that if you multiplied by the original matrix you would get the identity matrix?
The matrix that, when multiplied by the original matrix, yields the identity matrix is known as the inverse matrix. For a given square matrix ( A ), its inverse is denoted as ( A^{-1} ). The relationship is expressed as ( A \times A^{-1} = I ), where ( I ) is the identity matrix. Not all matrices have inverses; a matrix must be square and have a non-zero determinant to possess an inverse.
Can a 3 X 4 matrix be multiplied by a 4 X 1 matrix?
Yes. If one matrix is p*q and another is r*s then they can be multiplied if and only if q = r and, in that case, the result is a p*s matrix.
How eigenvalues are calculated?
An eigenvector of a square matrix Ais a non-zero vector v that, when the matrix is multiplied by v, yields a constant multiple of v, the multiplier being commonly denoted by lambda. That is: Av = lambdavThe number lambda is called the eigenvalue of A corresponding to v.
What would a 7x2 matrice and a 2x6 matrice form?
A 7*2 matrix (not matrice) and a 2*6 matrix, if multiplied together, will from a 7*6 matrix.
What are eigenvalues and eigenvectors?
An eigenvector is a vector which, when transformed by a given matrix, is merely multiplied by a scalar constant; its direction isn't changed. An eigenvalue, in this context, is the factor by which the eigenvector is multiplied when transformed.
How do you call a matrix that if you multiplied it by the original matrix you would get the identity matrix?
That is called an inverse matrix
What is the matrix that if you multiplied by the original matrix you would get the identity matrix?
The matrix that, when multiplied by the original matrix, yields the identity matrix is known as the inverse matrix. For a given square matrix ( A ), its inverse is denoted as ( A^{-1} ). The relationship is expressed as ( A \times A^{-1} = I ), where ( I ) is the identity matrix. Not all matrices have inverses; a matrix must be square and have a non-zero determinant to possess an inverse.
Can a 3 X 4 matrix be multiplied by a 4 X 1 matrix?
Yes. If one matrix is p*q and another is r*s then they can be multiplied if and only if q = r and, in that case, the result is a p*s matrix.
Is formed from the constant in a system of equations?
constant matrix
Define an indempotent matrix?
The phrase "idempotent matrix" is an algebraic term. It is defined as a matrix that equals itself when multiplied by itself.
When you multiply by a transformation it is multiplied on the left of the matrix?
somebody answer
How eigenvalues are calculated?
An eigenvector of a square matrix Ais a non-zero vector v that, when the matrix is multiplied by v, yields a constant multiple of v, the multiplier being commonly denoted by lambda. That is: Av = lambdavThe number lambda is called the eigenvalue of A corresponding to v.
Which matrix is one constant diagonals?
toeplitz
What would a 7x2 matrice and a 2x6 matrice form?
A 7*2 matrix (not matrice) and a 2*6 matrix, if multiplied together, will from a 7*6 matrix.
When you multiply by a transformation it is multiplied on the left of the vertex matrix?
not all the time
Can a 3 X 5 matrix be multiplied by a 3 X 5 matrix?
No it can't !!!Matrix property: A matrix A of dimension [nxm] can be multiplied by another B of dimension [ txs] m=t.m=t => there exist a C = A.B of dimension [nxs].Observe that given [3x5] and [3x5], 5!=3(not equal to) so you can't!
