SOLUTION: is this statement is true or false ? V= matrix( 3, 1, -1, 3, 1 ) ) is a linear combination of the column matrix A= matrix( 3, 3, 3, 2, 3, 2,

Algebra.Com
Question 1030270: is this statement is true or false ?
V= matrix( 3, 1,
-1,
3,
1
)
)
is a linear combination of the column matrix A=
matrix( 3, 3,
3, 2, 3,
2, 1, 1,
2, 1, 1
)
)

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
False, a 3x1 matrix cannot be a linear combination of a 3x3 matrix.

RELATED QUESTIONS

is this statement is true or false ? V= ( -1, 3, 1 ) is a linear combination... (answered by Fombitz)
please help me with this:: is this statement true or false : matrix B & C are equivalent (answered by robertb)
if A= ( matrix( 3, 3, 0, 1, 0, 0, 0, 1, 5, 0, 0 ) ) then A^3= 5I and A is... (answered by ikleyn)
True or False: it is possible to add a 3*3 matrix to a 3*5 matrix?... (answered by jim_thompson5910)
true or false: it is not possible to multiply a 3*4 matrix with a 4*3 matrix.... (answered by jim_thompson5910)
If (1 2 1) is a solution of matrix equation Ax=B. Determine and explain why is each... (answered by ikleyn)
Consider the accompanying matrix. Use the test for linear independence to find a basis... (answered by venugopalramana)
Evaluate the following determinants. This is a 3x3 matrix. the 3 is outside of the... (answered by Jk22)
Express the column matrix b as a linear combination of the columns of A. (Use A1, A2, and (answered by greenestamps)