Adição de Matrizes 2×2

The 2×2 matrix addition calculator performs element-wise addition of two square matrices of order 2. For each position (i,j), it adds the element from the first matrix to the corresponding element from the second. The result is a new 2×2 matrix. This operation is fundamental in linear algebra and is used in many practical applications.

To use, enter the values of both matrices in the indicated fields. The calculator checks if the data are valid numbers and displays the resulting matrix. The formula is simple: (A+B)[i][j] = A[i][j] + B[i][j]. For example, if A = [[1,2],[3,4]] and B = [[5,6],[7,8]], the sum is [[6,8],[10,12]].

When to use: in situations involving combination of linear transformations, addition of vectors or tabular data. Real examples: adding production cost matrices from two months, combining student grade matrices, or adding pixel matrices in image processing. It is useful whenever you need to combine information of the same structure.

Cautions: matrices must have the same dimension (2×2). Check that you have entered all values correctly. The calculator does not support matrices of other sizes. Remember that matrix addition is commutative: A+B = B+A. Avoid confusing with matrix multiplication, which follows different rules.