Question

Let a1, a2 and a3 be as in (a). Let a4 =   1 4 −5  . Without doing any further calculations, find all values of t for which there will be a unique solutions to a1y1 + a2y2 + a3y3 + a4y4 = c for every vector c in R 3 . Explain your answer

Answer 1

Hello your question is incomplete attached below is the complete question

a) attached below

b ) Vectors a1 and a2 are linearly independent and this is because they are a scalar multiple of each other

c) There are 3 equations and 4 unknown hence for any t value there will be a solution

Explanation:

A) attached below

b) Vectors a1 and a2 are linearly independent and this is because they are a scalar multiple of each other

C) there are 3 equations and 4 unknown hence for any t value there will be a solution