If we add an extra column b to a matrix A, then the column space gets larger unless __ . Give an example where the column space gets larger and an example where it doesn't. Why is Ax = b solvable exactly when the column space doesn't get larger-it is the same for A and [ A b]?

Q: Are the dimensions of the bases of a nxn Matrix always n? Can they be n - 1 or n + 1? Is it the same…

A: In the matrices, the dimensions of the bases are related to the vector spaces they represent.  1.…

Q: When two m x n matrices are said to be equal? Explain there Applicability?

A: Two mxn matrices are said to be equal if their corresponding elements are equal.

Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

A:

Q: Write down what it means for a n x k matrix to be singular.

A: As we know, If matrix is singular then it has determinant equals to '0' For Finding determinant…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.