Download Accelerated Math II – Test 1 – Matrices

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Transcript
Accelerated Math II – Test 1 – Matrices
Be able to define…
matrix
element/entry
equal matrices
dimension of a matrix
column matrix
row matrix
square matrix
zero matrix
identity matrix
scalar
determinant
inverse matrix
invertible (nonsingular) and non-invertible (singular)
matrix equation
coefficient matrix
digraph
adjacency matrix
linear programming: objective function, constraints, feasible region, optimal solution
Be able to do…
*matrix operations (+, −,×)
scalar multiplication
*find determinant (show diagonal or lattice method for 3 × 3)
*give inverse matrix
*solve matrix equation
*use Cramer’s Rule
find area of triangle
give adjacency matrix for digraph
solve linear programming problem
*use calculator technology
**A gardener is trying to find a triangular area behind his house that encloses 1750 square feet. He has placed the
first two fence posts at (0, 50) and at (40, 0). The final fence post is on the property line at y = 100. Find the point
where the gardener can place the final fence post.