26 5G II. 8:44 ☐ myportal.aum.edu.kw ENGLISH العربية RH Problem 2 [20 points]: Find the Reduced Row 1 4 7 Echelon Form of the matrix -1 0-1 3 04 Problem 3 [30 points]: Consider the following linear system: x+2y=1 -2x+2my=0 a) Write the linear system in the matrix form: A.X=b. b) For m=1, find the inverse of A, using the definition of the inverse. In this case, deduce the solution of the system. c) Use the definition of the inverse to find the values of m for which A is not invertible. 7 A▾ III G B I Ff▾ < ↑

Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]

Determine if the statement is true or false. If the statement is false, then correct it and make it true. Every matrix has a unique reduced row-echelon form.

Can a matrix that has 0 entries for an entire row have one solution? Explain why or why not.

Can any system of linear equations be written as an augmented matrix? Explain why or why not. Explain how to write that augmented matrix.

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