Chapter 1.2, Problem 60E

To determine

(a)

To find:

Whether the statement “A $4\times 7$ matrix has four columns” is true or false.

To determine

(b)

To find:

Whether the statement “Every matrix has a unique reduced row- echelon form” is true or false.

To determine

(c)

To find:

Whether the statement “A homogeneous system of four linear equations in four variables is always consistent” is true or false.

To determine

(d)

To find:

Whether the statement “Multiplying a row of a matrix by a constant is one of the elementary row operations” is true or false.