# Matrix product of two arrays in Numpy

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To find the matrix product of two arrays, use the numpy.matmul() method in Python Numpy. If both arguments are 2-D they are multiplied like conventional matrices. Returns the matrix product of the inputs. This is a scalar only when both x1, x2 are 1-d vectors.

The out is a location into which the result is stored. If provided, it must have a shape that matches the signature (n,k),(k,m)->(n,m). If not provided or None, a freshly-allocated array is returned.

## Steps

At first, import the required library −

import numpy as np

Create two 2D arrays −

arr1 = np.array([[5, 7], [10, 15]])
arr2 = np.array([[11, 12], [19, 20]])

Display the arrays −

print("Array 1...\n", arr1)
print("\nArray 2...\n", arr2)

Get the type of the arrays −

print("\nOur Array 1 type...\n", arr1.dtype)
print("\nOur Array 2 type...\n", arr2.dtype)

Get the dimensions of the Arrays −

print("\nOur Array 1 Dimensions...\n",arr1.ndim)
print("\nOur Array 2 Dimensions...\n",arr2.ndim)

Get the shape of the Arrays −

print("\nOur Array 1 Shape...\n",arr1.shape)
print("\nOur Array 2 Shape...\n",arr2.shape)

To find the matrix product of two arrays, use the numpy.matmul() method in Python Numpy. If both arguments are 2-D they are multiplied like conventional matrices −

print("\nResult (matrix product)...\n",np.matmul(arr1, arr2))


## Example

import numpy as np

# Create two 2D arrays
arr1 = np.array([[5, 7], [10, 15]])
arr2 = np.array([[11, 12], [19, 20]])

# Display the arrays
print("Array 1...\n", arr1)
print("\nArray 2...\n", arr2)

# Get the type of the arrays
print("\nOur Array 1 type...\n", arr1.dtype)
print("\nOur Array 2 type...\n", arr2.dtype)

# Get the dimensions of the Arrays
print("\nOur Array 1 Dimensions...\n",arr1.ndim)
print("\nOur Array 2 Dimensions...\n",arr2.ndim)

# Get the shape of the Arrays
print("\nOur Array 1 Shape...\n",arr1.shape)
print("\nOur Array 2 Shape...\n",arr2.shape)

# To find the matrix product of two arrays, use the numpy.matmul() method in Python Numpy
# If both arguments are 2-D they are multiplied like conventional matrices.
print("\nResult (matrix product)...\n",np.matmul(arr1, arr2))

## Output

Array 1...
[[ 5 7]
[10 15]]

Array 2...
[[11 12]
[19 20]]

Our Array 1 type...
int64

Our Array 2 type...
int64

Our Array 1 Dimensions...
2

Our Array 2 Dimensions...
2

Our Array 1 Shape...
(2, 2)

Our Array 2 Shape...
(2, 2)

Result (matrix product)...
[[188 200]
[395 420]]