Lesson 8E The Determinant of a Matrix Solidify Understanding
Given the system of equations
Zac started solving this problem by writing
Describe what Zac did to get from the matrix on the left to the matrix on the right.
Lea started solving this problem by writing
Describe what Lea did to get from the matrix on the left to the matrix on the right.
Using either Zac’s or Lea’s first step, continue solving the system using row reduction. Show each matrix along with notation indicating how you got from one matrix to another. Be sure to check your solution.
Use the determinant of each
Find the multiplicative inverse of each of the matrices in problem 4, provided the inverse matrix exists.
Generally, matrix multiplication is not commutative. That is, if
Determine if the following pairs of lines are parallel, perpendicular, or neither. Explain how you arrived at your answer.
Write the equation of a line that is parallel to