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What will be the dimensions of the new matrix formed by multiplying a 3 X 4 matrix and a 4 X 1 matrix?

3x1 matrix


How do you multiply 3x3 matrices by 1x3 or 3x1?

First of all, if we have any two matrices of sizes mxn and pxq where m, n, p and q are natural numbers, then we must have n=p to be able to multiply the matrices. The result is an mxq matrix. For example, a 3x1 matrix has m=3 and n=1. We can multiply it with any matrix of size 1xq. For example a 2x3 matrix can be multiplied with a 3x1 matrix which has 3 rows and 1 column and the result is a 2x1 matrix. (2x3) multiplies by (3x1) gives a (2x1) matrix. The easy way to remember this is write the dimension of Matrix A and then Matrix B. The two inner numbers must be the same and the two outer numbers are the dimensions of the matrix you have after multiplication. For example Let Matrix A have dimensions (axb) multiply it by matrix B which has dimensions (bxc) = the result is matrix of dimensions ac. Using the trick we would remind ourselves by writing (a,b)x(b,c)=(a,c). This is technically wrong because the numbers are dimensions, but it is just a method to help students remember how to do it. So, a 3x3 matrix can be multiplied by a 3x 1 but not by a 1,3 matrix. How do you do it? Just multiply each entry in the first row of A by each entry in the first column of B and add the products. Do the same for the next row etc. Many (or should I honestly say MOST) people use their fingers and go along row one and then down column one. The add the products of the entries as they do that. Then they do the same for row two and column two etc. It really does help!


3x1?

3


What is 3.5 in expanded notation?

(3x1) + (5/10)


If y3x and 3x15 then what number does y equal?

3x1/5


What is 63.7 in standered form?

6x10+3x1+7x1/10


Is 4x(3x1)(4x3)x1 a commutative property?

No, that's associative.


What is three times a number added to 2 is 5?

3x1+2=5


What type of property in math is this 3x1 equals 3?

The Multiplicative Property of 1.


What is 3 times 1?

2


What are the factor pairs for 3?

1x3 and 3x1 and -1x-3 and -3x-1


Does 3 go into 33 in multipilcation?

3x1=3, in this case 3x11=33.