Special Matrices (Identity And Null) | California State University, Northridge - Edubirdie

University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2023
Views:

112

Pages:

1
Author:

Andrew M.

NoDateSpecial Matrices(identity & Null)1)Identity Matrix is a square matrix with ones alongthe diagonal and teros everywhere else.Similar to scalar "1".2) Null Marrix is one in which all elementsare zero Similar to scaler o3) Both are diagonal matrices off-diagon-1elements are zero4) Both are symmetric and examples ofidempolent matrices That is,A.A and A=A2 = As=Laws of Matrix Addition & Multiplication1) Commutative low of Matrix Addition A+B = B + AA+B= a air + by bia = au+bl 612 + 12a2, anby, buaz+by b22 + anB+A =bn his+a an=bu + an b12+112hz berb2 hisby t arHzz + an2) Matnx Multiplication is distributive accross Additions :A (B+c) = AB + AC (assuming conformability applies)

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