Yes, the result is a 3x3 matrix
Matrix multiplication is not commutative, meaning that for two matrices A and B, the product AB is generally not equal to BA. Additionally, matrix multiplication is not defined for matrices of incompatible dimensions; for instance, you cannot multiply a 2x3 matrix by a 3x2 matrix without ensuring the inner dimensions match. Lastly, matrix multiplication does not distribute over addition in the same way as scalar multiplication, as the order of operations can affect the result.
(3x2)+5=11
10x3 + 3x2
That's commutative ... 3x2 = 2x3.
3x2 2x3 1x2x3 2x1x3 3x1x2 1x2x3
(2x3)+(3x5)-(3x2)= 2x3=6 3x5=15 3x2=6 So..... 6x25-6= 6x25=150 150+6=156
2x3=3x2
6= 3x2 2x3
(3x2)+5=11
2x² − 7x + 5
10x3 + 3x2
That's commutative ... 3x2 = 2x3.
3x2 2x3 1x2x3 2x1x3 3x1x2 1x2x3
No, you cannot add a 1x3 matrix to a 3x2 matrix because the two matrices have different dimensions. For matrix addition to be valid, both matrices must have the same dimensions. In this case, a 1x3 matrix has one row and three columns, while a 3x2 matrix has three rows and two columns, making them incompatible for addition.
(x3 - 3x2 + 4x - 7) - (2x3 + x2 - 3x - 5)
1, 2, 3, and 6 1x6 2x3 3x2 6x1
x2 • (5x2 + x + 8)