Chapter: 8
Highlight One
Mastered
Need Practice/Help
Topic: Matrices and Determinants
Section
Calculator?
of Book
8.1
No
Learning Target
I can write the order of a matrix. Row x Column
I know how to perform elementary row operations on matrices.
1) interchanging two rows
2) multiply a row by a non zero number
3) add a multiple of a row to another row
I can use matrices and Gaussian elimination to solve systems of linear
equations. To do this I must understand elementary row operations,
how to write an augmented matrix, how to get the matrix into row
echelon form, and how to use back-substitution.
I can use matrices and Gauss-Jordan elimination to solve systems of
linear equations. To do this I must understand elementary row
operations, how to write an augmented matrix, and how to get the
matrix into reduced row echelon form.
Mastered
Need Practice/Help
8.1
No
Mastered
Need Practice/Help
8.1
No
Mastered
Need Practice/Help
8.1
No
8.1
Yes
I can solve a system of linear equations with Gauss-Jordan Elimination.
8.2
No
I can decide whether two matrices are equal.
Mastered
Need Practice/Help
8.2
No
Mastered
Need Practice/Help
8.2
Yes
Mastered
Need Practice/Help
8.2
No
8.2
No
I can use matrix operations to model and solve real life problems.
8.3
No
I can verify that two matrices are inverses of each other.
8.3
No
I can use Gauss-Jordan elimination to find the inverses of 3 x 3 matrices.
8.3
No
I have the formula for finding inverses of 2 x 2 matrices memorized and
can use it to find the inverse.
8.3
Yes
I can find the inverse of any matrix using my calculator.
8.3
No
I can use inverse matrices to solve systems of linear equations.
Mastered
Need Practice/Help
8.4
No
Mastered
Need Practice/Help
8.4
No
8.4
Yes
I can find the determinant of any matrix using my calculator.
8.5
No
I can use Cramer’s Rule to solve systems of linear equations.
8.5
Yes
I can solve a system of linear equations using Cramer’s Rule.
8.5
No
I can use determinants to find the areas of triangles.
Mastered
Need Practice/Help
8.5
No
I can use a determinant to test for collinear points or to find the missing
part of a coordinate when given collinear points.
Mastered
Need Practice/Help
8.5
No
I can use matrices to encode and decode messages.
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Mastered
Need Practice/Help
Without using a calculator, I can perform basic operations with
matrices: add, subtract, multiply by a scalar, and multiply two matrices.
I can perform basic operations with matrices: add, subtract, multiply by
a scalar, and multiply two matrices.
I know how to look at the dimensions of two matrices and determine
whether or not they can be added, subtracted, or multiplied.
I have the formula for finding determinants of 2 x 2 matrices
memorized and can use it to find the determinant.
I can find minors and cofactors of square matrices. I can use the minors
and cofactors to find the determinant of any square matrix.