# simd_float3x4 A matrix of three columns and four rows that contains single-precision values. ``` struct simd_float3x4 ``` ## Topics ### Initializers [`init()`](/documentation/simd/simd_float3x4/init()) Creates a new matrix with uninitialized memory. [`init(_:)`](/documentation/simd/simd_float3x4/init(_:)-2os7r) Creates a new matrix with the specified scalar value on the main diagonal. [`init(diagonal:)`](/documentation/simd/simd_float3x4/init(diagonal:)) Creates a new matrix with the specified vector on the main diagonal. [`init(_:)`](/documentation/simd/simd_float3x4/init(_:)-4w4et) Creates a new matrix from an array. [`init(_:_:_:)`](/documentation/simd/simd_float3x4/init(_:_:_:)) Creates a new matrix with the specified vectors as columns. [`init(columns:)`](/documentation/simd/simd_float3x4/init(columns:)) Creates a new matrix with the specified columns. [`init(rows:)`](/documentation/simd/simd_float3x4/init(rows:)) Creates a new matrix with the specified rows. ### Matrix Properties [`transpose`](/documentation/simd/simd_float3x4/transpose) The transpose of the matrix. [`columns`](/documentation/simd/simd_float3x4/columns) The columns of the matrix. ### Matrix Creation Functions [`simd_matrix(_:_:_:)`](/documentation/simd/simd_matrix(_:_:_:)-1vwb0) Returns a new matrix with the specified columns. [`simd_matrix_from_rows(_:_:_:_:)`](/documentation/simd/simd_matrix_from_rows(_:_:_:_:)-6irzy) Returns a new matrix with the specified rows. [`matrix_from_rows(_:_:_:_:)`](/documentation/simd/matrix_from_rows(_:_:_:_:)-4bn2a) Returns a new matrix with the specified rows. ### Equality Functions [`simd_equal`](/documentation/simd/simd_equal-8ywka) 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-7vp0d) 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-8ea8s) Returns true if every element in a matrix is within a specified single-precision relative tolerance to the corresponding element in a second matrix. ### Math Functions [`simd_add`](/documentation/simd/simd_add-2poit) Returns the sum of two matrices. [`simd_sub`](/documentation/simd/simd_sub-8zkd6) Returns the difference of two matrices. [`matrix_scale`](/documentation/simd/matrix_scale-27nie) Returns the product of a scalar value and a matrix. ### Matrix-Scalar Multiplication Functions [`simd_mul`](/documentation/simd/simd_mul-63lgs) Returns the product of a scalar value and a 3 x 4 matrix. ### Matrix-Vector Multiplication Functions [`simd_mul`](/documentation/simd/simd_mul-11qnx) Returns the product of a four-element vector and a 3 x 4 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-4sxh3) Returns the product of a four-element vector and a 3 x 4 matrix. [`simd_mul`](/documentation/simd/simd_mul-9abtt) Returns the product of a 3 x 4 matrix and a three-element vector. [`matrix_multiply`](/documentation/simd/matrix_multiply-5tf39) Returns the product of a 3 x 4 matrix and a three-element vector. ### Matrix-Matrix Multiplication Functions [`simd_mul`](/documentation/simd/simd_mul-22ry5) Returns the product of a 2 x 4 matrix and a 3 x 2 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-2mmjb) Returns the product of a 2 x 4 matrix and a 3 x 2 matrix. [`simd_mul`](/documentation/simd/simd_mul-3uxip) Returns the product of a 3 x 4 matrix and a 3 x 3 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-1a1tt) Returns the product of a 3 x 4 matrix and a 3 x 3 matrix. [`simd_mul`](/documentation/simd/simd_mul-8ylcd) Returns the product of a 4 x 4 matrix and a 3 x 4 matrix. [`matrix_multiply`](/documentation/simd/matrix_multiply-15ddt) Returns the product of a 4 x 4 matrix and a 3 x 4 matrix. ### Linear Combination Function [`simd_linear_combination`](/documentation/simd/simd_linear_combination-q4rt) Returns the linear combination of two scalar values and two matrices. ### Transpose Function [`simd_transpose`](/documentation/simd/simd_transpose-10krq) Returns the transpose of a matrix. ### Element Access [`subscript(_:)`](/documentation/simd/simd_float3x4/subscript(_:)) Accesses the column at the specified position. [`subscript(_:_:)`](/documentation/simd/simd_float3x4/subscript(_:_:)) Accesses the element at the specified position. ### Type Aliases [`float3x4`](/documentation/simd/float3x4) A type alias for a single-precision 3 x 4 matrix. [`matrix_float3x4`](/documentation/simd/matrix_float3x4) A type alias for a single-precision 3 x 4 matrix. ### Deprecated Symbols [`matrix_equal(_:_:)`](/documentation/simd/matrix_equal(_:_:)-6el88) Returns true if every element in a matrix is exactly equal to the corresponding element in a second matrix, and otherwise returns false. [`matrix_from_columns(_:_:_:)`](/documentation/simd/matrix_from_columns(_:_:_:)-5nhl4) Returns a new matrix with the specified columns. [`matrix_transpose(_:)`](/documentation/simd/matrix_transpose(_:)-6ygo1) Returns the transpose of a matrix. [`init(_:)`](/documentation/simd/simd_float3x4/init(_:)-8fk31) Creates a new matrix with the specified matrix. [`cmatrix`](/documentation/simd/simd_float3x4/cmatrix) Returns the matrix as the corresponding C matrix type. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)