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Dimensions
Scalars
Addition and Subtraction
Multiplication
Words
100
When giving the dimension of a matrix we read these first, and these second.
What is rows first and columns second.
100
When you multiply a matrix by a scalar, each element in the matrix is multiplied by the scalar value.
What is True?
100
A student adds a 3 by 4 matrix to a 4 by 3 matrix and gets a 3 by 3 matrix as an answer. Did the student make an error?
What is yes - a 3 by 4 matrix can only be added to another 3 by 4 matrix!
100
Rows or Columns: When we multiply matrices, we take the elements of the left matrix _______ and multiply them with the elements of the right matrix _______, adding the products as we go.
What is "left matrix rows" and "right matrix columns"
100
This is an individual entry in a matrix, the value in a particular row and column.
What is an element?
200
I want to add a matrix to a 3 by 2 matrix. It must have this dimension.
What is 3 by 2
200
Is the following true?
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What is yes!
200
Determine the elements in the sum matrix
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What is 4, -3, 2, 3
200
True or False: The dimension of the answer to a matrix multiplication is the columns of the first matrix by the rows of the second matrix.
What is false (the result has dimension of rows of first matrix by columns of second matrix)
200
What is the second row, second column element of the matrix A
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What is 7?
300
This is the dimension of the product of a 4 by 2 matrix with a 2 by 3 matrix.
What is a 4 by 3 matrix?
300
Complete the scalar product
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What is 0, 8, 16, 16, 16, 4
300
True or False: if A and B are matrices then A + B = B + A
What is true!
300
True or False: If A and B are matrices, then A·B = B·A
What is false!
300
When a matrix has the same number of rows and columns, we say the matrix is this.
What is a square matrix?
400
This is the dimension of the product of a 3 by 4 matrix with a 2 by 4 matrix.
What is not defined (does not exist)?
400
Can a scalar be a negative number or a fraction?
What is yes!
400
Determine the sum
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What is does not exist?
400
Determine the first row, first column element value
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What is does not exist!
400
Can we add, subtract, or multiply matrix A with matrix B?
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What is no!
500
Let A be a 2 by 2 matrix, B be a 2 by 1 matrix, and C be a 1 by 2 matrix. This is the dimension of the result of 2(B·C + A)
What is a 2 by 2 matrix?
500
True or False: If k is a scalar and A and B are matrices, then k(A·B) = (kA)·B = A·(kB)
What is true!
500
Answer the question
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What is A!
500
Answer the question
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What is D!
500
Solve for y
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What is 11?