Consider the following statements Every system of linear equ

Consider the following statements Every system of linear equations with 4 equations in 7 variables (unknowns) has infinitely many solutions. Every homogeneous system of linear equations with 4 equations in 7 variables must have a 3-parameter family of solutions. Every homogeneous system of linear equations with 7 equations m 7 unknowns has a unique solution No system of linear equations with 7 equations m 4 variables has a solution Every system of linear equations with 7 equations in 7 variables and whose matrix of coefficients is invertible has a unique solution. Which of these statements is are true? A. All of them B. 1 and 4 only C. 2 and 3 only D. 3 and 5 only E. 5 only

Solution

Answer :

1.   False

2. False

3. False

4. False

5. True

So that , of all the above five statements only 5th statement is true