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Flashcards in Stuff Deck (15)
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1
Q

det(A)≠0

A

If det(A)≠0, A is invertible

2
Q

Checklist subspace

A

contain zero vector,
closed under multiplication
closed under addition

3
Q

Criteria for Basis

A

linearly independent, Span (V)

4
Q

Inverse Matrix* Original Matrix

A

Row echolon

5
Q

Rank of a matrix

A

Non- zero rows in echolon form

6
Q

If Scalar Product of two matrices is 0

A

90° angle (orthogonal)

7
Q

2x2 Determinante

A

1/ad-cb

8
Q

Divergence test

A

if lim n->infinity an /= 0, then an will diverge

9
Q

Integral test (f(x) is positive, continuous and decreasing in the interval

A

if integral is divergent -> f(x) is divergent

if integral is convergent -> f(x) is convergent

10
Q

Domain of a function

A

Set of all inputs over which the function is defined

11
Q

Range of a function

A

Set of all possible outputs

12
Q

function is surjective if

A

range of (f) = y

13
Q

d/dx (u*v)

A

udv/dx + v du/dx

14
Q

Ratio test

A

lim -> infinity | an+1/an | = L if |L|<1, then series converges absolutely

15
Q

Limit comparison test

A

if lim-> inf. an/bn is positive and finite, both converge or diverge