IdentityMatrix.md (511B)
1 # Identity Matrix 2 3 Khan Unit 2 4 5 **Definition:** The identity matrix is the matrix in R^n such that any matrix in R^n multiplied by it is equal to itself. 6 7 This matrix can be stated as follows where each row has one '1': 8 9 [1 0 0 ... 0] 10 [0 1 0 ... 0] 11 [. . . ... .] 12 [. . . ... .] 13 [. . . ... .] 14 [0 0 0 ... 1] 15 16 ## Interesting Notes 17 18 The columns of the identity matrix are called the **standard basis** of R^n because each vector is a unit vector, they are linearly independent, and can construct any vector in R^n.