Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has a unique solution, infinitely many solutions, or no solution. Justify your answers.

If (a, b, c, d) is a solution to a linear system, then the system has four equations. True False

Solve the following system of linear equations: 5x2+10x3 = -60 5x2+5x3 = -35 x1-3x2-x3 = 9 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. If the system has infinitely many solutions, select "The system has at least one solution". Your answer may use expressions involving the parameters 1, s, and t. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has no solutions The system has no solutions The system has at least one solution Row-ecreion form of augmented matrix: 000 000 000

Suppose that a system of linear equations has augmented matrix 5 — -1 0 0 1 2 2 1 0 1 3 1 3 1 How many variables does the system have?