tricky math problem i need everyones help its worth 10 points dealing with matrix!!!!!?

Question

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6. Name a column matrix.
7. Name a row matrix.
8. What are the dimensions of Matrix S? Make sure you give them in the correct order.
9. What element is in Matrix M, row 3, column 2?
10. a.) If you multiply Matrix S by Matrix T (S times T), what are the dimensions of the new matrix?

b.) If you multiply Matrix T by Matrix S (T times S), what are the dimensions of the new matrix?

c.) Is the answer matrix to part b different than the one in part a? Why?

Answer 1

A column vector in M:

1
2
0

O and P are column matrices

A row vector in M:

1....0....-1

R is a row matrix.

Dimensions of S: 3 x 2 (matrix dimension is n rows x m columns)

The result of matrix multiplication will produce a matrix in which is n x n, where n = no of colums of first matrix (which must = no of rows of the second), so

S x T = 2 x 2

T x S = 3 x 3

c) matrix multiplication is non-commutative; ie S x T does not equal T x S

Answer 2

please do your own homework.

A column matrix has dimensions of n by 1(n x 1) where n is its length, or the number of elements.
Likewise, a row matrix has dimensions of 1 by n (1 x n).
So a matrix S, in general, as dimensions m by n (m x n), meaning it has m rows and n columns.

For 10, multiply a couple matrices, noting the dimensions of the matrices being multiplied and the dimensions of their product.

Answer 3

6. O and P are both column matrices
7. Q is a row matrix
8. 2x3, the number of rows, and then columns
9. -3
10a. 2x2 matrix
10b. 3x3 matrix
10c. Yes. Matrix multiplication is not commutative under multiplication i.e. AB does not equal BA.

Answer 4

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