Let v1, V2 and v3 be three linearly independent vectors in R³. (a) Find the rank of the matrix A = [(v1 – v2) (v2– V3) (v3 – V1)]. (b) Find the rank of the matrix B = [(v1 + v2) (V2+vV3) (V3+V1)]. %3D

Q: 2c1 + 2c2 + 2c3 =0, 2c1              - 2c3 =2,c1 -   c2 +    c3 =  6 Write in the form AC = B with 3…

A:

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.