Hi,

[lament steeple]

I would like to ask for help with the following examples (photos).
Assignment:
1.5 c) d) - write the basic solutions for the basic variables
1.8 a) determine the products of the matrices, if any
5.2 b) - determine the optimal value

Thank you in advance for any help 🙂

[cunning crane]

1.5 c) d) To my understanding, it's asking you to solve the linear system when x1,x2,x3 is zero, which you can do using Gauss-Jordan elimination, or any other method you prefer.
1.8 a) The two matrices A and B will have a product AB if the number of column of A = number of row of B. Using this property, you should be able to decide whether product exists for two matrices or not.
5.2 b) Try writing the equation which is given to maximize, as linear combination of the other three. (Third equation can be formed from the given information: x1>=0, y1>=0, z1>=0). After that you should be able to comment what will be the max value.

[lament steeple]

Thank you for the explanation. Would you be able to help me with this overall. I don't understand it at all. Thank you.