Consider the matrix 5 A=2 11 0 0 k 5k+5 k - and let R be its reduced row-echelon form. (a) The matrix A is invertible if k + In fact, for= Ꭱ = Fork # then R = || = (b) For all the values of that makes A invertible then A-1 = then

Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.

Explain what it means in terms of an inverse for a matrix to have a 0 determinant.

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.

Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

Explain what is meant by the minor of an entry in a square matrix.

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