problem MAT 1005C "Elem. Lin. Algebra and Analytical Geometry" Quiz 1, September 30, 2024 Variant Problem 1. Consider the system of linear equations: 311 I1 2 I3 I2 3x3 1 +222 I3 7 - (a) Solve the system. How many solutions does it have? Explain. (b) Let A = laas] be the corresponding coefficient matrix as a₁, 2, and as, are its vector columns. in Span{a, az as}? If your answer is "YES", express the vector b as a linear Is the vector b = [2] combination of the vectors a₁, ä₂, and aз. Solution: (a)