It is a scalar multiplier.
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.
No, a 3x5 matrix cannot be multiplied by another 3x5 matrix. For matrix multiplication to be possible, the number of columns in the first matrix must equal the number of rows in the second matrix. Since a 3x5 matrix has 5 columns and the second 3x5 matrix has 3 rows, multiplication is not defined in this case.
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.
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.
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.
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.
That is called an inverse 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.
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.
constant matrix
The phrase "idempotent matrix" is an algebraic term. It is defined as a matrix that equals itself when multiplied by itself.
somebody answer
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.
toeplitz
A 7*2 matrix (not matrice) and a 2*6 matrix, if multiplied together, will from a 7*6 matrix.
not all the time
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!