3.2.1 Draw your own diagram
3.2.2 a. 25 b. 4 c. 5
3.2.3 63
3.2.4 25
3.2.5 Z1 = a + bi, Z2 = c + di, mid point is (a+c)/2 + (b+d)i/2 = (Z1 + Z2) / 2
3.2.6 a. 1 b. 1 c. 1
3.2.7 2 – i
3.2.1 Draw your own diagram
3.2.2 a. 25 b. 4 c. 5
3.2.3 63
3.2.4 25
3.2.5 Z1 = a + bi, Z2 = c + di, mid point is (a+c)/2 + (b+d)i/2 = (Z1 + Z2) / 2
3.2.6 a. 1 b. 1 c. 1
3.2.7 2 – i
3.1.1 z = +/- sqrt(3) i
3.1.2 a. -9 + 9i b. 56 + 33i c. 4 + 36i d. 112/169
3.1.3 a. 7 b. 3/34 + 5i/34
3.1.4 a. 0 b. 0 c. 8 + 4i
3.1.5 -i/2
3.1.6 a. 6 + 3i b. 14/123 + i/41 c. 74/25 – 18i/25
3.1.7 2, 0, -2
Answers to last week’s homework:
We continue our study on matrix multiplication, as this is something not intuitive for students.
For the resulting matrix’s element at i-th row and j-th column, think of it as the product of the i-th row from the 1st matrix with the j-th column from the 2nd matrix.
Then what is the product of a row and a column? First of all,t they need to have the same number of elements in that row and the column. Then it is the sum of the products of the corresponding elements from the row and the column. That is, you multiple the 1st element from the i-th row to the 1st element from the j-th column, Then the 2nd, etc. Then you add all the products together.
Homework (see Pages from Lesson 9):
Workbook Page 24, #18 – #21.
Answers to last week’s homework:
We study multiplication of a matrix by a scalar and multiplication of two matrices.
A matrix can be multiplied by a real number (usually called a scalar). If k is a scalar, then the scalar multiplication of a matrix A by k, denoted by kA, is obtained by multiplying every element of A by k.
Matrices multiplication is defined as follows:
If A is a matrix of order m x n and B a matrix of order n x p, then the product AB is a matrix of order m x p whose element at the i-h row and j-th column is the sum of the products of the corresponding elements in the i-th row of A and j-th column of B.
If the column number of A is not equal to the row number of B, then AB is undefined.
We introduce Identity Matrix of order n, which has 1 on its major diagonal line and 0 anywhere else..
Homework (see Pages from Lesson 9):
Workbook Page 21, #7, #10 – #12. Please use last lesson’s homework pages for the questions.