Khan Academy
7 713 vidéos, +5 400 000 abonnés

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duréevues
Invertible change of basis matrix | Linear Algebra | Khan Academy13:3401 liste
Change of basis matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy17:5501 liste
Coordinates with respect to a basis | Linear Algebra | Khan Academy16:8001 liste
Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy18:5001 liste
Another least squares example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy13:2501 liste
Least squares approximation | Linear Algebra | Khan Academy15:3201 liste
Projection is closest vector in subspace | Linear Algebra | Khan Academy9:5001 liste
Another example of a projection matrix | Linear Algebra | Khan Academy21:3601 liste
Subspace projection matrix example | Linear Algebra | Khan Academy13:4001 liste
A projection onto a subspace is a linear transformation | Linear Algebra | Khan Academy16:1601 liste
Visualizing a projection onto a plane | Linear Algebra | Khan Academy9:2801 liste
Projections onto subspaces | Linear Algebra | Khan Academy17:2601 liste
Showing that A-transpose x A is invertible | Matrix transformations | Linear Algebra | Khan Academy12:3401 liste
Rowspace solution to Ax = b example | Linear Algebra | Khan Academy19:3801 liste
Unique rowspace solution to Ax = b | Linear Algebra | Khan Academy19:1201 liste
Orthogonal complement of the nullspace | Linear Algebra | Khan Academy3:2701 liste
Orthogonal complement of the orthogonal complement | Linear Algebra | Khan Academy12:1801 liste
Representing vectors in rn using subspace members | Linear Algebra | Khan Academy27:1001 liste
Slope and Y-intercept Intuition5:540
Basic Graphing and Coordinates12:300
Area of a circle6:450
Circles: radius, diameter, circumference and Pi | Geometry | Khan Academy11:500
Area and Perimeter12:200
dim(v) + dim(orthogonal complement of v) = n | Linear Algebra | Khan Academy9:2701 liste
rank(a) = rank(transpose of a) | Matrix transformations | Linear Algebra | Khan Academy11:140
Orthogonal complements | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy22:800
Visualizations of left nullspace and rowspace | Linear Algebra | Khan Academy19:500
Rowspace and left nullspace | Matrix transformations | Linear Algebra | Khan Academy23:190
Alternate Solution to Ratio Problem (HD Version)7:200
More advanced ratio problem--with Algebra (HD version)9:580
Ratio problem with basic algebra (new HD)5:120
Introduction to ratios | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy14:130
Transpose of a vector | Matrix transformations | Linear Algebra | Khan Academy12:700
Transposes of sums and inverses | Matrix transformations | Linear Algebra | Khan Academy8:410
Determinant of transpose | Matrix transformations | Linear Algebra | Khan Academy14:100
Transpose of a matrix product | Matrix transformations | Linear Algebra | Khan Academy8:500
Transpose of a matrix | Matrix transformations | Linear Algebra | Khan Academy8:370
Determinant as scaling factor | Matrix transformations | Linear Algebra | Khan Academy20:100
Determinant and area of a parallelogram | Matrix transformations | Linear Algebra | Khan Academy21:380
Simpler 4x4 determinant | Matrix transformations | Linear Algebra | Khan Academy9:130
Upper triangular determinant | Matrix transformations | Linear Algebra | Khan Academy8:700
Determinant after row operations | Matrix transformations | Linear Algebra | Khan Academy10:250
Duplicate row determinant | Matrix transformations | Linear Algebra | Khan Academy8:190
Determinant when row is added | Matrix transformations | Linear Algebra | Khan Academy16:550
(correction) scalar multiplication of row | Matrix transformations | Linear Algebra | Khan Academy2:520
Determinant when row multiplied by scalar | Matrix transformations | Linear Algebra | Khan Academy13:200
Scientific notation examples | Pre-Algebra | Khan Academy12:490
Rule of Sarrus of determinants | Matrix transformations | Linear Algebra | Khan Academy7:180
Determinants along other rows/cols | Matrix transformations | Linear Algebra | Khan Academy9:300
n x n determinant | Matrix transformations | Linear Algebra | Khan Academy18:400
3 x 3 determinant | Matrix transformations | Linear Algebra | Khan Academy10:100
Introduction to scientific notation | Pre-Algebra | Khan Academy20:480
Formula for 2x2 inverse | Matrix transformations | Linear Algebra | Khan Academy18:200
Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy15:430
The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy11:500
Calculating slope of tangent line using derivative definition | Differential Calculus | Khan Academy8:280
Example of finding matrix inverse | Matrix transformations | Linear Algebra | Khan Academy6:220
Deriving a method for determining inverses | Matrix transformations | Linear Algebra | Khan Academy18:000
Showing that inverses are linear | Matrix transformations | Linear Algebra | Khan Academy21:250
Simplifying conditions for invertibility | Matrix transformations | Linear Algebra | Khan Academy6:370
Matrix condition for one-to-one trans | Matrix transformations | Linear Algebra | Khan Academy20:000
Exploring the solution set of Ax = b | Matrix transformations | Linear Algebra | Khan Academy16:340
Simple Analysis of Cost per Job Saved from Stimulus3:1001 liste
Determining whether a transformation is onto | Linear Algebra | Khan Academy25:5165 713
Relating invertibility to being onto and one-to-one | Linear Algebra | Khan Academy6:3143 769
Surjective (onto) and injective (one-to-one) functions | Linear Algebra | Khan Academy9:32222 088
Proof: Invertibility implies a unique solution to f(x)=y | Linear Algebra | Khan Academy22:4135 088
Introduction to the inverse of a function | Matrix transformations | Linear Algebra | Khan Academy18:54108 862
Distributive property of matrix products | Matrix transformations | Linear Algebra | Khan Academy9:5220 553
Matrix product associativity | Matrix transformations | Linear Algebra | Khan Academy11:5919 891
Matrix product examples | Matrix transformations | Linear Algebra | Khan Academy18:1446 222
Compositions of linear transformations 2 | Matrix transformations | Linear Algebra | Khan Academy16:3130 989
Compositions of linear transformations 1 | Matrix transformations | Linear Algebra | Khan Academy12:2162 064
FRB Commentary 3: Big Picture21:2837 2701 liste
FRB Commentary 2: Deposit Insurance17:2034 0931 liste
Fractional Reserve Banking Commentary 119:1369 4751 liste
Expressing a projection on to a line as a matrix vector prod | Linear Algebra | Khan Academy16:4158 760
Introduction to projections | Matrix transformations | Linear Algebra | Khan Academy14:37133 317
Unit vectors | Matrix transformations | Linear Algebra | Khan Academy6:59118 643
Rotation in R3 around the x-axis | Matrix transformations | Linear Algebra | Khan Academy12:1876 113
Linear transformation examples: Rotations in R2 | Linear Algebra | Khan Academy17:52112 585
Linear transformation examples: Scaling and reflections | Linear Algebra | Khan Academy15:13119 343
More on matrix addition and scalar multiplication | Linear Algebra | Khan Academy10:4236 451
Sums and scalar multiples of linear transformations | Linear Algebra | Khan Academy15:9034 461
Preimage and kernel example | Matrix transformations | Linear Algebra | Khan Academy15:2398 275
Preimage of a set | Matrix transformations | Linear Algebra | Khan Academy5:2347 188
(2^ln x)/x Antiderivative Example8:40113 705
im(T): Image of a transformation | Matrix transformations | Linear Algebra | Khan Academy16:3799 368
Image of a subset under a transformation | Matrix transformations | Linear Algebra | Khan Academy18:1175 750
Linear transformations as matrix vector products | Linear Algebra | Khan Academy17:32196 587
Matrix vector products as linear transformations | Linear Algebra | Khan Academy17:40152 244
Linear transformations | Matrix transformations | Linear Algebra | Khan Academy13:53419 071
Vector transformations | Matrix transformations | Linear Algebra | Khan Academy14:19173 384
A more formal understanding of functions | Matrix transformations | Linear Algebra | Khan Academy16:20199 631
Khan Academy on Facebook2:1831 355
Showing that the candidate basis does span C(A) | Vectors and spaces | Linear Algebra | Khan Academy13:4031 756
Showing relation between basis cols and pivot cols | Linear Algebra | Khan Academy8:3341 736
Dimension of the column space or rank | Vectors and spaces | Linear Algebra | Khan Academy12:48160 734
Dimension of the null space or nullity | Vectors and spaces | Linear Algebra | Khan Academy13:59132 614
Proof: Any subspace basis has same number of elements | Linear Algebra | Khan Academy21:3544 430

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