Which of the following is a key concept in 'linear algebra'?
Practice Questions
Q1
Which of the following is a key concept in 'linear algebra'?
The study of prime numbers
The analysis of vector spaces and linear mappings
The exploration of calculus
The examination of statistical distributions
Questions & Step-by-Step Solutions
Which of the following is a key concept in 'linear algebra'?
Step 1: Understand that linear algebra is a branch of mathematics.
Step 2: Learn that it deals with vectors, which are objects that have both a direction and a magnitude.
Step 3: Recognize that linear algebra studies vector spaces, which are collections of vectors that can be added together and multiplied by numbers.
Step 4: Identify that linear mappings (or linear transformations) are functions that take vectors from one vector space to another while preserving the operations of vector addition and scalar multiplication.
Step 5: Realize that these concepts are important for solving systems of equations, computer graphics, and many other applications.
