Linear stuff Flashcards
1
Q
Consistent
A
At least one solution
2
Q
Homogeneous
A
Constant term = 0 or Ax =0
3
Q
Trivial solution
A
Unique solution to homogeneous linear system
4
Q
Singular
A
Square matrix where det A = 0 and A^-1 is not defined
5
Q
Inverse
A
another matrix that, when multiplied by the original matrix (A), results in the identity matrix (I)
6
Q
Transpose
A
a new matrix obtained by interchanging its rows and columns
7
Q
Identity
A
a square matrix in which all the elements of principal diagonals are one, and all other elements are zeros
8
Q
Rank
A
of non-zero rows in REF
9
Q
Free variable
A
10
Q
REF
A
11
Q
RREF
A
12
Q
Inconsistent
A
No solution
13
Q
Gauss Jordon
A
RREF
14
Q
A set of vectors form a basis if…
A
- the vectors are lin ind
- they span the vector space
15
Q
Nullity
A
number of free variables
16
Q
A
