In Exercises 29 - 32, write each linear system as a matrix equati...

Question

In Exercises 29 - 32, write each linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the constant matrix. x + 3y + 4z = - 3 x + 2y + 3z = - 2 x + 4y + 3z = - 6

Accepted Answer

express the following system of equations. As a matrix equation where we have this set of three equations. Now, a matrix equation is generally given by the form A times X equals B or a star coefficient matrix B is our constant matrix. Excellent. Br variable matrix. So let's go and take a look. We want to find what A. Is. Now. They will be the coefficients of everything on the left side of our equal side. If you notice here we have two, five and 9 on the top row, those are the coefficients. Our next one would be 1 -3, 7 And finally four Native three. This is our matrix A. Now multiply environ matrix X which serve variable matrix well we know we want X, Y and Z as our variables. So we will say X, Y. C. This is equal to our constant matrix. The constant matrix is just the matrix of everything. On the right side of the equal side. We notice here we have negative five negative one and negative seven. We can't simplify this any further. So this is our matrix equation right here meaning the answer to our problem that's actually answer A. Okay, I hope that you solve the problem. Thank you for watching. Goodbye

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In Exercises 29 - 32, write each linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the constant matrix. x + 3y + 4z = - 3 x + 2y + 3z = - 2 x + 4y + 3z = - 6