Curated OER
Expansion By Minors
In this algebra worksheet, students solve matrix problems identifying the Minors and solving for x. There are 14 problems to be solved.
Curated OER
Linear Systems
For this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector space learning exercise, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page learning exercise contains approximately six multi-step...
Curated OER
Linear Systems: Linear Equations
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
Curated OER
Least Squares
In this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
Curated OER
Linear Equations and Matrices
Young scholars solve systems of equations. In this precalculus lesson,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
Curated OER
Linear Systems: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
Curated OER
Math 214: Quiz 9 - Dimensions of Subspaces
In this subspace activity, students determine the dimension of a nullspace and column space of a given matrix. This two-page activity contains three problems.
Curated OER
It All Adds Up -- Puzzle Matrix #9
In this addition puzzle worksheet, students find the 7 missing numbers that make all of the rows, columns, and diagonals add up to the given numbers.
Curated OER
Determinants
In this determinants worksheet, 9th graders solve 10 different problems that include different matrices. They calculate the determinant of each matrix using the data given for each. Then, students define the 2 X 2 matrix and its...
Free Printable Behavior Charts
Pet Care Charts
Involve kids in the care of pets at home or in the classroom by assigning tasks using these pet care charts The list of tasks are recorded on a matrix in the left-hand column and the days of the week are indicated in the first row of...
Curated OER
MT-A314 Introduction to Linear Algebra: Worksheet 4.4
In this linear algebra learning exercise, students prove that a given matrix is orthogonal. In addition, they list the entries for the second column of a matrix and make comparisons. Students complete three problems.
Curated OER
Food Web Relationships
In this food web worksheet, students create a food web matrix and answer short answer questions about the food chain according to the matrix. Students complete 7 short answer questions.
Curated OER
Linear Systems: Definition of the Nullspace
In this nullspace instructional activity, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page instructional activity contains...
Curated OER
It All Adds Up -- Puzzle #14
In this addition puzzle matrix worksheet, students insert 8 numbers in the puzzle to make the rows, columns, and diagonals add up to the proper numbers.
Curated OER
It All Adds Up -- Puzzle #15
In this addition matrix puzzle worksheet, students insert 8 numbers into the matrix so the numbers add up diagonally, vertically, and horizontally.
Curated OER
It All Adds Up -- Puzzle #30
In this addition matrix puzzle worksheet, students insert 8 numbers that make the puzzle add up horizontally, vertically, and diagonally.
Curated OER
Magic Squares
In this magic squares worksheet, students solve 3 different magic squares shown on the sheet. First, they identify the numbers already used in each square. Then, students determine which number goes in each blank to equal the same sum in...
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
Curated OER
Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
Curated OER
Linear Systems: Introduction to Vector Space
In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.
Curated OER
More on Least Squares
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Curated OER
Introduction to Vector Spaces
In this vector spaces learning exercise, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page learning exercise contains 13 problems.
Curated OER
Omega and Eigenfunction
In this chemistry learning exercise, students calculate the eigenfunction of the operator. They use the operator matrices. There are 4 questions.