Determine whether b can be written as a linear combination of Bold a Subscript Bold 1a1, Bold a Subscript Bold 2a2, and Bold a Subscript Bold 3a3. In other words, determine whether weights x 1x1, x 2x2, and x 3x3 exist, such that x 1x1Bold a Subscript Bold 1a1plus+x 2x2Bold a Subscript Bold 2a2plus+x 3x3Bold a Subscript Bold 3a3equals=b. Determine the weights x 1x1, x 2x2, and x 3x3 if possible.

Complete  Question

The complete question is shown on the first uploaded image

 a

    b can be written as a linear combination of  

b

   The values of  

Step-by-step explanation:

From the question we are told that

     

Where ,   and  

   So  

     

     

=>  

     

=>  

=>  

Now multiplying equation 1 by 3 and adding the product to equation 2

         

=>        

 substituting into equation 1

       

       

Now to test substitute into equation 3

       

     

Since LHS = RHS then there exist values  such that

       

Hence b can be written as a linear combination of  

     

step-by-step explanation:

when the line is solid:

it's either < or >

when the line is dashed:

it's either < or >

this > inequality sign means:

greater thanmore thanaboveexceeds

this < inequality sign means:

less thanfewer thanbelow

this > inequality sign means:

greater than/equal tono less thanat leastminimum of

this < inequality sign means:

less than/equal tono more thanat mostmaximum of

about the problem:

since the line is solid, that means it's either < or >

srry i'm not done ! i'll

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