What is a change of basis, and how do you do it?

What is a change of basis, and how do you do it?

How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?

What is a change of basis, and how do you do it?

New ReviewIn this video we will explore and Easy vs Hard approach to identifying the inverse of a rational function.

New ReviewIn this video we are going to explore an easy problem for evaluating the inverse of the tangent function and a hard problem for evaluating the inverse tangent.

New ReviewWhen understanding how to find the inverse of a function either graphically or algebraically there is

New ReviewThis video explains the ambiguous case in trigonometry where no triangle can be formed despite given measurements (0:00). The presenter, Brian McLogan, provides three examples (0:10) to illustrate how to identify when a solution is...

In this short video we will Solve for x to determine the correct solution. We will first distribute to clear parentheses. Since the equation has variables on both sides, we will collect variable terms to one side using inverse...

In this shorts video we will be solving for x using inverse operations. We will solve a multistep algebraic equation. We will review and understand that addition and subtraction are inverse operations. We will also review and...

In this shorts video we will learn about inequalities & when to reverse the symbol. We will review properties of inequality used to solve linear inequalities. We will review the rule for multiplying or dividing both sides of an...

In this shorts math video we will review solving absolute value equations while answering a standardized math test question. We will review the steps to solving an absolute value equation. The first step will be to rewrite the absolute...

In this shorts math video we will learn how to solve a quadratic equation two ways to answer a standardized math test question. We will be presented with an equation and four answer choices. We will understand that x squared is...

In this short math video we will determine the minimum solution of an inequality. We will be presented with a real world situation and an inequality that models the real world situation. The solution of an inequality is a set of values...

A video entitled "Rearrange Radicals and Rationals" that shows how to use inverse operations to isolate various variables in equations.

Pupil outcome: I can explain how adjusting the minuend can make mental calculation easier. Key learning points: - If you increase the minuend the difference increases by the same amount. - If you decrease the minuend the difference...

Pupil outcome: I can recognise addition and subtraction as the inverse of each other. Key learning points: - Addition is the inverse of subtraction. Addition can 'undo' subtraction. - Subtraction is the inverse of addition. Subtraction...

Pupil outcome: I can interpret and represent the inverse relationship between addition and subtraction. Key learning points: - Addition is the inverse of subtraction. Addition can 'undo' subtraction. - Subtraction is the inverse of...

Pupil outcome: I can halve numbers and explain what halving means. Key learning points: - Halving is the inverse of doubling. - Halving can be used to subtract a number from its double.

Pupil outcome: I can use a range of strategies to solve multiplication and division problems. Key learning points: - Look at the numbers in the problem to decide which strategy is most effective and explain why. - Use partitioning...

Pupil outcome: I can adjust a number to make an addition easier. Key learning points: - If you adjust an addend you adjust the sum by the inverse. - If you add 1 to an addend you must subtract 1 from the sum. - If you subtract 1 from an...

Pupil outcome: I can calculate the difference using knowledge of an adjusted subtrahend in a difference structure Key learning points: - The more you subtract the smaller the difference. - The less you subtract the greater the...

Pupil outcome: I can use unitising and multiplying and dividing by 10 to scale division facts. Key learning points: - Division is the inverse of multiplication - If you know that 3 groups of 4 are equal to 12 then there are 3 groups of 4...

Pupil outcome: I can understand that dividing a number by 10 makes it ten times smaller or one tenth the size Key learning points: - 1 is ten times smaller than 10 or one tenth the size. - Dividing by ten makes the number ten times...