19. Determine the condition number of the following matrices. Comment on whether or not small errors in data of each matrix A can result in large errors in the solution of Ax = b. 2 - (a) (b) (c) (d) +

Can you explain whether a 2×2 matrix with an entire row of zeros can have an inverse?

Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?

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.