Starter Questions
Questions to stimulate mathematical thinking
Vocabulary
How can this pattern help you find an answer?
Anything Goes!
400
True or False: When multiplying matrices we multiply the rows in the first matrix by the columns in the second matrix
What is TRUE
400
?
Step 1 Label the matrix and find the Determinant
Step 2 Find the Determinant
Step 3 Find the Adjoint divide by the determinant
Step 4 Adjoint divide by the determinant
Determinant = -2
7/-2 5/2
3 -2
400
What are you finding:
When you swap a and d and change the signs of b and c
What is the Adjoint
400
Is AB possible and why?
YES
Matrix A = 2 x 2
Matrix B = 2 x 1
2 x 2 2 x 1 (The columns in Matrix A is the same as the rows in Matrix B
The answer will be a 2 x 1
400
True or False: Every matrix must have rows and columns
What is True
400
AA-1 gives the ______________ matrix
What is Identity matrix?
400
A matrix known as I
What is the identity matrix
1 0
0 1
400
When you multiply a matrix by a number
What is a scalar multiple?
400
What is happening when you take the following steps:
Step 1 Label the matrix
Step 2 (a x d) - (b x c)
You are finding the determinant
400
Explain:
To multiply two matrices you must multiply the
Rows by the columns
500
What can happen when you are given a matrix and this formula?
(a x d) - (b x c)
You are asked to find the Determinant
500
What would happen if you are given the following pair of equations to write in the form of AX = B ?
3x + 4y = 12
4x + 5y = 15
What is writing simultaneous equation in matrix form
A X = B
3 4 x 12
4 5 y 15
500
A + B = B + A.
What is the COMMUNITATIVE PROPERTY?
500
The description makes it possible:
2 x 3 3 x 3
500
Write the following pair of simultaneous equation in matrix form:
3x + 5y = 18
2x + 6y = 15
A X = B
3 5 x 18
2 6 y 15
600
How can you name the order of a matrix?
Rows followed by its columns
600
Explain:
A + B equal B + A
A + B is commutative to B +A as the answers will be the same
600
A matrix that has a determinant of 0
What is a singular matrix
600
Answer:
2 x 3
600
Write the following pair of simultaneous equation in matrix form:
-3x + 4y = -12
2x - 6y = 14
What is
A X = B
-3 4 x -12
2 -6 y 14
1000
The weekly sales for 2 weeks in February for 3 models of cell phones are represented below:
Week 1 Week2
5 Model A 6 Model A
7 Model B 3 Model B
4 Model C 1 Model C
Create a 3 x 2 matrix using the information
What is
5 6
7 3
4 1
1000
Explain:
AB does not equal to BA
AB is not commutative to BA as the answers will be different
1000
A2
What is multiplying a matrix by itself?
1000
If the bakery cooked half the amount of cupcakes on Saturday than on Friday how many did they bake?
What is 300
1000
Explain:
To square a matrix for example
A2.
you must multiply the matrix by -----------
Itself