**Homework 1**

# MATH 107: Introduction to Linear Algebra, SPRING 2024 Homework

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**Homework 1**

**Varga Kalantarov**, Office: SCI 162, Office Hours: Fridays, 13:30- 14:30 or by appointment.

**TBA**,e-mail: TBA, Office Hours: TB

**D. C. Lay, S. Lay, J.J. McDonald Linear Algebra and Its Applications **

SIXTH EDITION

**Week 1: Systems of Linear equations. Row reduction and Echelon Form. **** (** Section1.1, Section 1.2)

**Week 2: Vector Equations. **** The Matrix equation Ax=b (** Section1.3, Section 1.4)

**Week 3: Solution Sets of Linear Systems. Linear Independence. **** (** Section1.5, Section 1.7)

**Week 4 : Introduction to Linear Transformations. **** The Matrix of Linear Transformation ** (Section1.8, Section 1.9)

**Week 5 : **** Matrix operations. The Inverse of a Matrix ** (Section 2.1, Section 2.2)

**Week 5 : **** Characterisation of Invertible Matrices. ** ( Section 2.2, Section 2.3)

**Week : **** Vector Spaces and Subspaces. ** (Section 4.1)