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| What do you write when excluding no.s from a pronumeral. |
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| x is an element of the real field \(y,z) etc |
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-Will be one off depending on the values of the unknown pronumerals. Not infinite (lines lie on eachother) or no solution (parallel).
det does not = 0 |
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| What to remember when getting an inverse |
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| swap a and d, and negate b and c. |
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Also called a unit matrix.
10
01
or
100
010
001
If you multiply the identity matrix by a square matrix you will get the same result as the square matrix.
A matrix must be square matrix for identity to exist.
AI=IA=A |
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A matrix of any order with all zeros.
00
00
00
000
000
000
0000 |
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Involves multiplying a whole matrix by a number (similiar to a bracket in algebra.
eg.
k 12
34
= k 2k
3k 4k |
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Same order (dimension 2x2 etc.)
Identical values in each element |
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1,2 (1st row, 2nd column etc.)
Basically referring to one of the values (no.s) in the matrix. |
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A loop in a network responds to a value of 1 is an adjancency matrix.
Eg.
The rows are one factor compared to the columns which is another factor. (x,y. cost, time. etc.) |
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| Forms a column shape or row shape |
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Square Matrix
Singular Matrix
Column Matrix
Regular Matrix
Row Matrix |
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AB does NOT = BA
*Unless identity matrix
True or false |
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| Matrices must be square matrices to be raised to a power |
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det does NOT = 0
compared to a singular matrix where det does =0 |
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det does = 0
No solution (parallel) or infinite many solutions (same equation) |
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| No solution and Infinite many solution notes |
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No solution means - parallel different y int
Infinite many solution means - same equation (same line) |
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| Subtract it from 180 degrees. |
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