Adding & Subtracting Matrices
scalar multiplication
Identifying elements of matrices
multiplying matrices
Scalar stuff
Solving Systems of Equations
100
To add two Matrices together we add each
What is number in matrix A by each number in matrix B
100
what is the definition of scalar multiplication?
What is to multiply a real number by each number inside a matrix.
100
Identify element a23 from A =
What is a23 = 2
100
When multiplying matrices, what is required regarding the dimensions of the 1st and 2nd matrix?
The number of columns of the first matrix must equal the number of rows of the 2nd matrix.
100
Do the following scalar multiplication:
What is
| 20|
| 15| ?
100
Solve the following system using rref:
-x+y=-4
x+y=-2
What is
200
[2 3 5] + [3 5 8] = ?
What is [5 8 13]
200
5[1 3 5]=
What is [5 15 25]
200
Identify element a31 from A =
What is a31 = 1
200
When multiplying the following matrices(A & B), what is the output at c21?
What is c21 = -8 + 10 = 2
200
Do the following:
What is [-5 10 5 -10] ?
200
Solve the following system using rref:
x+y=-1
y=2
What is
{(-3, 2)}
300
[4 17 2 5] + [1 4 2 5] = ?
What is [5 21 4 10] ?
300
2[4 7 6]
What is [8 14 12]
300
Identify element a43 from A =
What is a43 = undefined
300
When multiplying the following matrices(A & B), what is the output at c32?
What is c32 = 1*3 + 6*4 = 27
300
Do the following, and determine the element a22 of result:
What is a22 = 10?
|-25 -30 20|
|-20 10 5 |
300
Solve the following system using rref:
3x-y-2z=-7
3x-3y+6z=-3
-3x+4y-z=10
What is
{(-1, 2, 1)}
400
[5 4] - [2 -3] = ?
What is [3 7]
400
-1[10 16 19]
What is [-10 -16 -19]
400
Identify element a34 from A =
What is a34 = 5
400
When multiplying the following matrices(A & B), what is the output at c12?
What is c12 = 2*5 + (-3)*7 = -11
400
Do the following, and determine a13 of result:
What is a13 = 20?
|-25 -30 20|
|-20 10 5 |
400
Solve the following system using rref:
x-6y-2z=13
--x-2y+4z=25
3x+4y+5z=-16
What is
{(-5, -4, 30)}
500
[9] + [0] =?
What is [9]
500
10[2 7 5]
What is [20 70 50]
500
identify element a02 from A =
What is a02 = undefined
500
Mechanical pencils cost $4.95, pens cost $2.99, and notebooks cost $3.49. Olivier bought 12 mechanical pencils, 8 pens, and 7 notebooks. Paulina bought 6 mechanical pencils, 12 pens, and 9 notebooks. Use matrices to find the total amount Olivier spent.
500
Do the following scalar multiplication and determine all elements of the result:
What is 4*(-4) 4*(3) 4*(-5)?
| -16 |
| 12 |
| -20 |
500
What does rref stand for?
What is "reduced row echelon form"?