Matrix A
Matrix B
Power of Matrix
Result
How to Calculate Matrices? ➕➖✖️➗
Matrices are rectangular arrays of numbers that are used in various branches of mathematics, such as linear algebra, physics, computer graphics, and statistics. Here are some basic matrix operations:
Addition
To add two matrices, simply add their corresponding elements. For example, if you have two matrices A and B, the element at row i, column j of the result matrix C is obtained by adding the element at row i, column j of A to the element at row i, column j of B.
Subtraction
Subtraction of matrices works similarly to addition. Subtract the corresponding elements of the two matrices to get the result.
Multiplication
Matrix multiplication is a bit more involved. To multiply two matrices A and B, the number of columns in A must equal the number of rows in B. The element at row i, column j of the result matrix C is obtained by multiplying the elements of the i-th row of A by the elements of the j-th column of B and summing the products.
Transpose
The transpose of a matrix is obtained by swapping its rows and columns. For example, the element at row i, column j of the original matrix becomes the element at row j, column i of the transposed matrix.