SOLUTION: Suppose A is a 2*2 matrix where the sum of each of the columns is equal to 0. Prove that A in not invertible.
Algebra.Com
Question 298101: Suppose A is a 2*2 matrix where the sum of each of the columns is equal to 0. Prove that A in not invertible.
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
a b
-a -b
determinant is -ab+ab=0 ----> matrix is not invertible
RELATED QUESTIONS
Let X be the design matrix of a linear regression problem with m rows (samples) and d... (answered by asinus)
If (1 2 1) is a solution of matrix equation Ax=B. Determine and explain why is each... (answered by ikleyn)
Find the values of x, y, and z so that matrix A =
1 2 x
3 0 y
1 1 z
is... (answered by Edwin McCravy)
True or false questions:
1. In order for a matrix B to be the inverse of A, both... (answered by stanbon)
a square matrix A is said to be idempotent A^2=A
(a)give an example of idempotent... (answered by Edwin McCravy)
Show that the mapping f:R-R be defined by f(x) = ax + b where a,b € R, a is not equal to... (answered by rothauserc)
let a be an nxn matrix. let Ax=b be the matrix equation for a linear system in which b... (answered by robertb)
Q−1: [5×2 marks] Answer each of the following as True or False justifying your... (answered by math_tutor2020)
an n x n matrix A is nilpotent if A^r=0 for some positive integer
(a)give an example of (answered by ikleyn)