# Multiplication of two matrix in ruby

Ruby program for Multiplication of two matrix. Here more solutions.

``````#  Ruby program for
#  Two matrix multiplication

#  Display the element of given 2d matrix
def printRecord(matrix)
print("  --------------\n")
#  Assume  N x N Matrix size
row = matrix.length
col = matrix[0].length
i = 0
#  Iterate the row element
while (i < row)
j = 0
#  Iterate the column element
while (j < col)
#  Display element value
print("  ", matrix[i][j])
j += 1
end
print("\n")
i += 1
end
print("\n")
end

def multiplication(a, b)
#  Get the size
row = a.length
col = a[0].length
#  This matrix are store the result of multiplication
result = Array.new(row) {Array.new(col) {0}}
i = 0
while (i < row)
j = 0
while (j < col)
#  Set the initial value of new matrix element
result[i][j] = 0
k = 0
while (k < row)
#  Multiply matrix A [i] row and [k] columns to
#  the Matrix B [k] columns and [j] rows.
result[i][j] += a[i][k] * b[k][j]
k += 1
end
j += 1
end
i += 1
end

print("  Matrix A\n")
#  Print element of matrix x
printRecord(a)
print("  Matrix B\n")
#  Print element of matrix y
printRecord(b)
print("  Matrix [(A) x (B)]\n")
#  Display resultant matrix
printRecord(result)
end

def main()
#  Define matrix A
a = [
[1, 2, 3],
[6, 1, 2],
[5, 4, 3]
]
#  Define matrix B
b = [
[3, 1, 3],
[1, 1, 2],
[2, 2, 3]
]
multiplication(a, b)
end

main()``````

Output

``````  Matrix A
--------------
1  2  3
6  1  2
5  4  3

Matrix B
--------------
3  1  3
1  1  2
2  2  3

Matrix [(A) x (B)]
--------------
11  9  16
23  11  26
25  15  32

``````

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