Linear Systems: Fundamental Theorem of Linear Algebra

There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...

This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental...

Make connections with linear algebra. The video introduces the concept of linear algebra and its geometric underpinnings. The resource makes the case that a complete understanding of linear algebra topics should include geometric...

What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...

Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...

Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...

Take a look at vectors as geometric objects and then as an algebraic concept. The second video in a series of 15 introduces the vector using three perspectives: the physics, computer science, and mathematical. The resource shows the...

Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...

[Free Registration/Login may be required to access all resource tools.] Here you will learn about the Fundamental Theorem of Algebra, and how to apply it to various functions. You will also review using the quadratic equation to find...

Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...