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Vectors - Finding Magnitude or Length. I give the formula, and do a couple examples of finding the magitude, or length, or a vector. Nothing heavy! For more free videos visit http://PatrickJMT.com

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What is the determinant of the matrix: [4 5 ]
[ 3 2]
4x2-5x3=8-15= -7
-7 is the determinant

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Prove quadrilaterals: With side lengths/slopes
Find the determinant: multiply a and b and c and d and subtract
Creating a Vector: End to end or Parallelogram Rule.
Parallelogram: From the origin make vector a and b. Attatch vector a onto b and b onto a to create a parallelogram. From there, form the diagonal created by one point and the origin. This line is the new vector.c

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Find magnitude: square root of a to the second power + b to the second power
Finding multiplicative inverse: Find determinant of  the matrix and then multiply 1 over the matrix by d, -b, -c, a
Find determinant: ad-bc
Solving matrix equations: abcd times xy=ef

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Additive Identity: Matrix of Zeros
Multiplicative Identity: Matrix of 1 0 0 1
Multiplicative Inverse: Found by flipping a and d and making b and c negative, Then multiply the 1 over the determinant
Transformation Notation: An equation that compares the difference between another equation which shows a vertical transformation
Vectors: Show translations
Magnitude: The size of a vector