MTH501 Quiz 3 by Iqra Azhar

What is the maximum possible number of pivots in a 4x6 matrix

4. What is Eigen value? A vector obtained from the coordinates A scalar associated with a given linear transformation A matrix determined from the algebraic equations It is the inverse of the transform scalar associated with a linear transformation. Each pair of eigenvalue and its corresponding eigenvector provides a solution of the equation x′=Ax which is called ------------ ---- of the differential equation. Select the correct option Eigen functions Eigen vectors A partitioned matrix ‘A’ is said to be block diagonal if the matrices on the main diagonal are square and all other position matrices are ______. zero A blocked matrix in which blocks (blocked matrices) are repeated down the diagonals of the matrix is called a ______ matrix. Select

Blocked rectangular Blocked identity Blocked square Blocked diagonal-constant Blocked diagonal-constant For u, v vectors in Rn, the distance between u and v is written asSelect the correct option None of these dist(u,v)=||u−u|| dist(u,v)=||v−v|| dist(u,v)=||u−v|| dist(u,v)=∣∣u−v∣∣. If A= transpose of A( where A is a square matrix ), then which of the following is the most appropriate option for A?Select the

A is symetric matrix. A is a scalar matrix. A is invertible matrix. A is singular matrix. A is a symmetric matrix." Each pair of eigenvalue and its corresponding eigenvectors provides a solution of the equationx′=Axwhich is calledSelect the

vector space solution matrix dynamical system eigenfunctions solution matrix. Any set of three non-coplanar vectors {a,b,c} in ordinary space spans the -------- spaceSelect the correct option R3 R2 R 3 The determinant of a triangular matrix is the sum of the entries of the main diagonal. Select the correct option True False False A system of linear equations is said to be homogeneous if it can be written in the form ______________.Select the correct option AX=0 AX=B