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Addition and Subtraction
Matrix Multiplication
100
Identify element a31 from A =
1
100
Solve the simultaneous equations
2x + y = 26 and 3x − y= 4
(6,14) or x = 6 and y = 14
100
a = 8cm
b = 10cm
C = 60o
what is c to 2 decimal places?
9.17cm
100
What is the rule for determining if two matrices can be added or subtracted together?
The matrices have to be the exact same dimensions (equal number of rows and columns)
100
Can the following matrices be multiplied together? How do you know?
[[1,2],[3, 4],[5, 6]] [[1,2, 3],[4, 5, 6]]
Yes, because the first matrix is a 3x2, and the second matrix is a 2x3. Since the second matrix has the same number of rows, as the first one has columns (2), these matrices can be multiplied together.
200
Write a 3x3 zero matrix
[[0,0,0],[0,0,0],[0,0,0]]
200
Solve the simultaneous equations
5x - 2y = 18
3x - y = 7
x=-4
y=-19
200
a = 1m
b = 1.2m
c = 50cm
what is C to 2 decimal places?
24.15o
200
Simplify the following matrices based problem:
200
Solve the following operations:
2[[1,-2],[-3, 4],[5, -6]] + [[-7,8],[9, -10],[-11, 12]]
[[-5,4],[3,-2],[-1,0]]
300
This matrix has the same number of rows as columns.
Square Matrix
300
Solve the simultaneous equations
2x + 4y = 26 and 3x − y= 4
(3,5)
300
Calculate the area of the triangle
a = 12m
b = 7m
C = 88o
41.97 m2
300
Given Matrix X and Matrix Y. What is Y-X?
Matrix X=
[[2,-3],[-1,4]]
Matrix Y=
[[-4,1],[3,-2]]
[[-6,4],[4,-6]]
300
What is AxB?
Matrix A=
[[1,1],[1,1]]
Matrix B=
[[0,3],[4,4]]
[[4,7],[4,7]]
400
Write a 4x4 identity matrix
[[1,0, 0,0],[0,1, 0,0],[0,0,1,0],[0,0,0,1]]
400
Solve the simultaneous equations
2y = 4x − 18 and 2x = 15 +3y
(3,-3)
400
Calculate the area of the triangle
a = 13m
b = 14m
c = 15m
84m2
400
Subtract:
[[1,-2, -1],[-3, 4, 3],[5, -6, -5]] - [[-2, 1, 2], [4, 3, -4], [-6, -5, 6]]
[[3,-3,-3],[-7,1,7],[11,-1,-11]]
400
What is AxB?
matrix A=
[[4,3],[9,7]]
matrix B=
[[6,3],[9,4]]
[[51,24],[117,55]]
500
A rescue helicopter flies 45km from its base on a true bearing of 125o to reach a stranded hiker. How far south has the helicopter traveled from its base?
25.81 km
500
A cruise ship leaves a port and travels 32km due East, then turns and travels 24km due North to arrive at an island. What is the true bearing of the island from the port? (Round your answer to the nearest degree).
053o
500
What is the solution of the matrix equation
[[5,3],[2,1]][[x],[y]]=[[-5],[1]]
[[2],[-5]]
500
2C + A
What is
|7 -19|
|0 15|
500
Solve the following multiplication:
[[1,2, -2, -1],[-3, -4, 4, 3]] xx [[5],[6],[7],[8]]
[[-5],[13]]