# simd_double4x3 A matrix of four columns and three rows that contains double-precision values. ``` struct simd_double4x3 ``` ## Topics ### Initializers [`init()`](/documentation/simd/simd_double4x3/init()) Creates a new matrix with uninitialized memory. [`init(_:)`](/documentation/simd/simd_double4x3/init(_:)-lh76) Creates a new matrix with the specified scalar value on the main diagonal. [`init(diagonal:)`](/documentation/simd/simd_double4x3/init(diagonal:)) Creates a new matrix with the specified vector on the main diagonal. [`init(_:)`](/documentation/simd/simd_double4x3/init(_:)-24exh) Creates a new matrix from an array. [`init(_:_:_:_:)`](/documentation/simd/simd_double4x3/init(_:_:_:_:)) Creates a new matrix with the specified vectors as columns. [`init(columns:)`](/documentation/simd/simd_double4x3/init(columns:)) Creates a new matrix with the specified columns. [`init(rows:)`](/documentation/simd/simd_double4x3/init(rows:)) Creates a new matrix with the specified rows. ### Matrix Properties [`transpose`](/documentation/simd/simd_double4x3/transpose) The transpose of the matrix. [`columns`](/documentation/simd/simd_double4x3/columns) The columns of the matrix. ### Matrix Creation Functions [`simd_matrix(_:_:_:_:)`](/documentation/simd/simd_matrix(_:_:_:_:)-4swfv) Returns a new matrix with the specified columns. [`simd_matrix_from_rows(_:_:_:)`](/documentation/simd/simd_matrix_from_rows(_:_:_:)-6525o) Returns a new matrix with the specified rows. [`matrix_from_rows(_:_:_:)`](/documentation/simd/matrix_from_rows(_:_:_:)-19j6n) Returns a new matrix with the specified rows. ### Math Functions [`simd_add`](/documentation/simd/simd_add-5827c) Returns the sum of two matrices. [`simd_sub`](/documentation/simd/simd_sub-7r2k2) Returns the difference of two matrices. [`matrix_scale`](/documentation/simd/matrix_scale-4to0w) Returns the product of a scalar value and a matrix. ### Matrix-Scalar Multiplication Functions [`simd_mul`](/documentation/simd/simd_mul-9tjlv) Returns the product of a scalar value and a 4 x 3 matrix. ### Matrix-Vector Multiplication Functions [`simd_mul`](/documentation/simd/simd_mul-2ykj4) Returns the product of a three-element vector and a 4 x 3 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-1q0om) Returns the product of a three-element vector and a 4 x 3 matrix. [`simd_mul`](/documentation/simd/simd_mul-24gts) Returns the product of a 4 x 3 matrix and a four-element vector. [`matrix_multiply`](/documentation/simd/matrix_multiply-4obd4) Returns the product of a 4 x 3 matrix and a four-element vector. ### Matrix-Matrix Multiplication Functions [`simd_mul`](/documentation/simd/simd_mul-33ps1) Returns the product of a 2 x 3 matrix and a 4 x 2 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-2txdr) Returns the product of a 2 x 3 matrix and a 4 x 2 matrix. [`simd_mul`](/documentation/simd/simd_mul-1ly1) Returns the product of a 3 x 3 matrix and a 4 x 3 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-8s05c) Returns the product of a 3 x 3 matrix and a 4 x 3 matrix. [`simd_mul`](/documentation/simd/simd_mul-cmf2) Returns the product of a 4 x 3 matrix and a 4 x 4 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-9g2os) Returns the product of a 4 x 3 matrix and a 4 x 4 matrix. ### Equality Functions [`simd_equal`](/documentation/simd/simd_equal-9yy3z) Returns true if every element in a matrix is exactly equal to the corresponding element in a second matrix. [`simd_almost_equal_elements`](/documentation/simd/simd_almost_equal_elements-1d74k) Returns true if every element in a matrix is within a specified tolerance to the corresponding element in a second matrix. [`simd_almost_equal_elements_relative`](/documentation/simd/simd_almost_equal_elements_relative-39069) Returns true if every element in a matrix is within a specified double-precision relative tolerance to the corresponding element in a second matrix. ### Linear Combination Function [`simd_linear_combination`](/documentation/simd/simd_linear_combination-7zah2) Returns the linear combination of two scalar values and two matrices. ### Transpose Function [`simd_transpose`](/documentation/simd/simd_transpose-xo7a) Returns the transpose of a matrix. ### Element Access [`subscript(_:)`](/documentation/simd/simd_double4x3/subscript(_:)) Accesses the column at the specified position. [`subscript(_:_:)`](/documentation/simd/simd_double4x3/subscript(_:_:)) Accesses the element at the specified position. ### Type Aliases [`double4x3`](/documentation/simd/double4x3) A type alias for a double-precision 4 x 3 matrix. [`matrix_double4x3`](/documentation/simd/matrix_double4x3) A type alias for a double-precision 4 x 3 matrix. ### Deprecated Symbols [`matrix_from_columns(_:_:_:_:)`](/documentation/simd/matrix_from_columns(_:_:_:_:)-7g6mu) Returns a new matrix with the specified columns. [`matrix_equal(_:_:)`](/documentation/simd/matrix_equal(_:_:)-1x3ox) Returns true if every element in a matrix is exactly equal to the corresponding element in a second matrix, and otherwise returns false. [`matrix_transpose(_:)`](/documentation/simd/matrix_transpose(_:)-23ibz) Returns the transpose of a matrix. [`init(_:)`](/documentation/simd/simd_double4x3/init(_:)-30jps) Creates a new matrix with the specified matrix. [`cmatrix`](/documentation/simd/simd_double4x3/cmatrix) Returns the matrix as the corresponding C matrix type. --- Copyright © 2026 Apple Inc. 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