True or False 1. A system comprising two linear equations in two variables has a unique solution
Question:
True or False
1. A system comprising two linear equations in two variables has a unique solution if and only if the straight lines represented by the equations are nonparallel.
2. Suppose the straight lines represented by a system of two linear equations in two variables are parallel to each other. Then the system has infinitely many solutions.
3. If A and B are matrices of the same order, then (A+B)^T = A^T + B^T .
4. If A and B are matrices such that AB and BA are both defined, then A and B must be square matrices.
5. If A is a square matrix with inverse A^-1 and c is a nonzero real number, then (cA) -1 =1/c(a -1 ) .
6. If AX = B is a system of n linear equations in n unknowns and a -1 does not exist, then AX = B does not have a unique solution.
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels