# LinearAlgebraOperationsExtensions.MultiplyAndAddInPlace<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage, T, TStorage) Method

Sum of the product of a general matrix and vector and a scaled vector.

## Definition

Namespace: Extreme.Collections
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 9.0.0
C#
``````public static void MultiplyAndAddInPlace<T, TStorage, TStorage2D>(
this ILinearAlgebraOperations<T> operations,
TransposeOperation transposeOperation,
int m,
int n,
T alpha,
TStorage2D a,
TStorage x,
T beta,
TStorage y
)
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>
``````

#### Parameters

operations  ILinearAlgebraOperations<T>
The linear algebra operations instance used to perform the calculation.
transposeOperation  TransposeOperation
Specifies the operation to be performed on the matrix a.
m  Int32
The number of rows in the matrix a.
n  Int32
The number of columns in the matrix a.
alpha  T
The scalar used to multiply the matrix-vector product.
a  TStorage2D
A span that contains the elements of the matrix.
x  TStorage
A reference to a one-dimensional array containing the elements of the vector x.
beta  T
The scalar used to multiply y.
y  TStorage
A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.

T
TStorage
TStorage2D

#### Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type ILinearAlgebraOperations<T>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

## Remarks

This method is similar to the BLAS routine DGEMV.