Introduction to Matrices

Matrices represent rectangular arrangements of numerical values or symbols, aligned in rows and columns. They are a critical tool in diverse fields, including the resolution of linear equation systems, the execution of transformations in graphics, and state transformations in physics. Essential operations with matrices encompass addition, subtraction, multiplication, and the calculation of determinants or inverses.

Multiplication by a Scalar

Given the matrix A = [[3, 2], [4, 1]], multiply the matrix by scalar 5.
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Multiplication

Given the matrices \(A = \begin{bmatrix} 3 & 1 \end{bmatrix}\) and \(B = \begin{bmatrix} 2 \ 5 \end{bmatrix}\), find the product of the matrices \(A \times B\).
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Subtraction

Given two matrices A and B, where A = \(\begin{bmatrix} 3 & 4 \\ 5 & 6 \end{bmatrix}\) and B = \(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}\), find the result of the subtraction A - B.
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Addition

If matrix A = \(\begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}\) and matrix B = \(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}\), what is A + B?
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Popular Problems

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