Matrix Algebra Flashcards
1
Q
diagonal matrix
A
if a matrix conatains zeros in all off-diagonal positions
2
Q
identify matrix
A
a diagonal matrix with a 1 in each diagonal position
3
Q
upper triangular matrix
A
a square matrix with zeros below the diagonal
4
Q
j
A
A vector 1
5
Q
J
A
a square matrix of 1’s
6
Q
o
A
a vector of zeros
7
Q
O
A
a matrix of zeros
8
Q
(A + B)’ =
A
A’ + B’
9
Q
(A - B)’ =
A
A’ - B’
10
Q
conformable
A
the number of colums in A must be the same as the number of rows in B
11
Q
A (B + C) =
A
AB + AC
12
Q
A (B - C) =
A
AB - AC
13
Q
(A + B) C =
A
AC + BC
14
Q
(A - B) C =
A
AC - BC
15
Q
(A - B) (C - D)
A
(A - B)C - (A - B) D
= AC - BC - AD + BD