Matrices Question
View this question.
Add this question to a group or test by clicking the appropriate button below.
Grade 11 Matrices CCSS: HSA-REI.C.8
When representing a system of linear equations in two variables as a matrix equation, one can use the general form A[xy]=→b. For a given system of linear equations, is it possible for the 2-by-2 matrix A to have different entries? Why or why not?
- Yes. Either equation in the system of equations can be multiplied by a constant. This will also affect →b.
- No. A different matrix A would result in a different answer regardless of anything else.
- It depends on whether the system of equations is dependent or independent.
- No. Only a system of equations that is inconsistent, and therefore has no answer anyways, can have different A matrices.