Find all a and B >0 so that the matrix B = 23 6 2 is diagonally dominant;

Find ATA for the matrix A=[531246]. Show that this product is symmetric.

Solve for x,y and z in the matrix equation 4xyz-1=2yz-x1+24x5-x.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.

Solve for x and y in the matrix equation 2AB=I, given A=[1123] and B=[x2y5].

Determine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced row-echelon form. 1024011130000

Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

Write the system of equations that corresponds to the augmented matrix: [111423181113] .

Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply row 1 by 2, (c) Multiply row 2 by 3 and add to row 1. [232413504| 42 1]

Determine the dimension of the matrix 14710238.