Matrices Lesson 8
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Lesson duration is: 45 minItems in this lesson
Slide 1 - Slide
What is the order of a 3x2 matrix?
A
3 rows and 2 columns
B
3 rows and 3 columns
C
2 rows and 3 columns
D
2 rows and 2 columns
Slide 2 - Quiz
When adding 2x2 matrices, what should be the sum of the elements in the first row and first column of the resulting matrix?
A
Product of corresponding elements
B
Difference of corresponding elements
C
Sum of corresponding elements
D
Average of corresponding elements
Slide 3 - Quiz
What does the order of a matrix indicate?
A
Product of rows and columns
B
Number of rows and columns
C
Sum of rows and columns
D
Difference between rows and columns
Slide 4 - Quiz
If a matrix has 4 rows and 5 columns, what is its order?
A
9
B
5x4
C
4+5
D
4x5
Slide 5 - Quiz
What is the result of adding the matrices:
2
3
4
1
A
[8 3]
B
[5 3]
C
[7 2]
D
[6 4]
Slide 6 - Quiz
When adding matrices, what is the requirement for their dimensions?
A
They must be of the same dimensions.
B
They must have different dimensions.
C
The dimensions do not matter.
D
They can have any dimensions.
Slide 7 - Quiz
What is the determinant of the 2x2 matrix
3
4
5
2
A
-14
B
20
C
7
D
11
Slide 8 - Quiz
How do you calculate the determinant of a 2x2 matrix?
A
a^2 + b^2
B
a + b - c - d
C
ad - bc
D
ab - cd
Slide 9 - Quiz
How do you find the inverse of a 2x2 matrix?
A
Multiply by determinant, change sign of b and c, divide by determinant
B
Divide by determinant, swap b and c, change sign of a and d
C
Swap a and d, change sign of b and c, divide by determinant
D
Swap b and c, change sign of a and d, multiply by determinant
Slide 10 - Quiz
What is the first step in solving simultaneous equations using matrices?
A
Solving for x
B
Finding the determinant
C
Write the equations in matrix form
D
Substituting values
Slide 11 - Quiz
Solve the simultaneous equations using the 2x2 matrix format for
x + y = 5
4x - y = 12
x + y = 5
4x - y = 12
A
x = 3, y = 2
B
x = 1, y = 4
C
x = 2, y = 3
D
x = 4, y = 1
