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CHM 1012 Semester 2 > matrix > Flashcards

matrix Flashcards

1
Q

what is linear algebra

A

a branch of mathematics that deals with systems of linear equations

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2
Q

which is the independent variable

A

x

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3
Q

which is the dependent variable

A

y

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4
Q

how to solve simultaneous equations

A

sum up equations removing a variable and find left over variable
substitute value for one into the other

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5
Q

what is a 2X2 determinant based on

A

denominator of general equation for solving simultaneous equations

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6
Q

equation for 2X2 determinant

A

a1b2 - b1a2

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7
Q

what does a a1b2 - b1a2 determinant look like

A

a1 b1

a2 b2

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8
Q

how to find D from a 2X2

A

cross multiply a1 minus cross multiple b1

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9
Q

what is the solution to any set of two linear equations

A 
x = Dx/D 
y = Dy/D
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10
Q

what is Dx

A

c1 b1

c2 b2

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11
Q

what Dy

A

a1 c1

a2 c2

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12
Q

what is a matrix

A

an array of numbers

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13
Q

what is a m x n

A

m rows and n columns

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14
Q

address of element

A

row i column j

like aij

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15
Q

what variable is a on

A

x

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16
Q

what makes a matrix equal

A

literally everything

17
Q

when can you add matrix

A

when they have the same order

18
Q

how to add matrix

A

just add equivalent numbers

19
Q

how to multiply by a constant

A

just multiply every value by the constant

20
Q

how to multiply matrix

A

row by column
far left to top
then add them and it is one number if one row by one column matrix

21
Q

when can you multiply matrix

A

when the number of columns of the first one equals the number of columns of the second

22
Q

how to find the size of the matrix after multiplication

A

columns of A by rows of B

23
Q

how to multiply matrix with more than one row/column

A

multiply first row and column and add to get a number

then first row and second column then second row and first column then second row and second column

24
Q

what is a commutative law

A

you can add/multiply in any order

CHM 1012 Semester 2 (3 decks)

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