Complex Numbers
What is the definition of i?
What is i2 = -1 where i = the square root of -1
True or false: A matrix can only have a certain number of dimensions.
What is False
What is AB?
Answer shown on board
You find the determinant of a 2x2 matrix by...
What is multiply the diagonals and subtract them
What two components make up a vector?
What is Direction and Magnitude
(6-2i) + (7+3i)
What is 13+i
Can you add or subtract two matrices that are different dimensions?
No!
What is CD?
Find the determinant of the matrix I write on the board
What is 6
What is the term for two vectors that have a dot product of 0?
What is Orthogonal (or perpendicular)
(10+4i) - (5-12i)
What is 5+16i
True or false: Scalar multiplication can only be done with whole numbers
What is false! (Matrices can be scaled by any number (even pi))
With the two matrices on the board, what is A-B?
Shown on board
Find the determinant of this 2x2
What is 138
If U is < 5,-4>, what is -3U?
What is <-15, 12>
(4-2i)2 = ?
What is 12-16i
True or false: You cannot find the determinant of a non-square matrix
What is True
With the two matrices written on the board, what is 2A-3B?
Shown on board
Find the determinant of the following matrix
What is 41
Find the dot product between <-3,8> and <7,-2>
What is -37
(7+4i) / (10-2i) = ?
What is (62+54i)/104 or (31+27i)/52
To multiply two matrices, the number of ______ in the first matrix must equal the number of ______ in the second matrix.
What is columns, rows
What is GH?
Find the determinant of the following 3x3 matrix
What is -1
Find the magnitude of the vector <-5,-12>
What is 13