In linear algebra, a
matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
线性代数中,矩阵是一个按行和列排列的数字、符号或表达式的矩形数组。
The determinant of a square
matrix is a value that can be calculated from the elements of a square
matrix.
方阵的行列式是从方阵元素中计算出来的一个值。
A diagonal
matrix has all its non-diagonal elements equal to zero.
对角矩阵的非对角线元素都等于零。
The transpose of a
matrix is obtained by flipping the
matrix over its diagonal, which switches the row and column indices of the elements.
矩阵的转置是通过将其沿对角线翻转得到的,这会交换元素的行和列索引。
The identity
matrix is a square
matrix with ones on the main diagonal and zeros everywhere else.
单位矩阵是一个主对角线上的元素为1,其他位置的元素为0的方阵。
Multiplying a
matrix by a scalar results in another
matrix with each element multiplied by that scalar.
将一个矩阵乘以一个标量会得到一个新的矩阵,其中每个元素都是原矩阵对应元素与该标量的乘积。
Matrix addition is performed by adding corresponding elements of two matrices.
矩阵加法是通过将两个矩阵的对应元素相加来完成的。
The inverse of a square
matrix, if it exists, is another
matrix that when multiplied with the original
matrix results in the identity
matrix.
如果存在的话,方阵的逆矩阵是另一个矩阵,它与原矩阵相乘的结果是单位矩阵。
A system of linear equations can be represented as a
matrix equation.
线性方程组可以表示为矩阵方程。
In computer graphics, transformation matrices are used to manipulate 2D or 3D objects.
在计算机图形学中,变换矩阵用于操作2D或3D对象。
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