2 1 2 A = = | 3 -2 4 -3 -5]

Q: If A and B are symmetric matrices, will A*B*A be symmetric? Please provide proof.

A: Concepts to be used :A matrix Mis said to be symmetric if,MT=M, where MTis the transpose of the…

Q: elementary

A:

Q: hat is a matrix

A: Matrix:

Q: find an example of a matrix in V=M3x3 that doesn't have an additive inverse ans should be entries in…

A:

Q: Define Positive Definite Matrices.

A:

Q: Show that the inverse of an invertible lower triangular matrix is lower triangular

A: Given : The matrix A is an invertible lower triangular matrix Then we have to show that A-1 is…

Q: Define Square matrix?

A: A matrix is the arrangement of data in rows and columns.

Q: What is the rank of the matrix?

A:

Q: Describe all matrices which satisfy det(-A) = -det(A).

A: Assume a square matrix A of order n

Q: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

Q: -5 4] -5 2 1 ||

A:

Q: What is the multiplicative identity matrix?

A: According to the question, we have to define the multiplicative identity matrix. As the above…