LINEAR ALGEBRA – SIMPLE NOTES
• 1. MATRICES
A matrix is a table of numbers.
Example:
[1 2]
[3 4]
Rows = horizontal lines
Columns = vertical lines
• Matrix Addition
Only same size matrices can be added.
[1 2] + [5 6]
[3 4] [7 8]
=
[1+5 2+6]
[3+7 4+8]
=
[6 8]
[10 12]
• 2. DETERMINANT (2×2 MATRIX)
• For matrix:
[a b]
[c d]
Determinant = ad − bc
Example:
• [1 2]
[3 4]
• 1. MATRICES
A matrix is a table of numbers.
Example:
[1 2]
[3 4]
Rows = horizontal lines
Columns = vertical lines
• Matrix Addition
Only same size matrices can be added.
[1 2] + [5 6]
[3 4] [7 8]
=
[1+5 2+6]
[3+7 4+8]
=
[6 8]
[10 12]
• 2. DETERMINANT (2×2 MATRIX)
• For matrix:
[a b]
[c d]
Determinant = ad − bc
Example:
• [1 2]
[3 4]
