In all the examples in my Geometry textbook and on the Web all the examples are about adding two groups of matrices, such as:
[2/3] + [4/3] = [6/6]
But what about a problem like this with three matrices?
[2/3] + [8/5] - [6/2] = ?
In what order to I add and subtract? Would I add the first two and then subtract the last one from the solution to the first two matrices?
2007-05-04 07:55:10 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It shouldn't matter what order you add and subtract.
2 + 8 - 6 is 4, no matter what order you use.
2007-05-04 08:00:02 · answer #1 · answered by morningfoxnorth 6 · 1⤊ 0⤋
No, addition of matrices is defined basically for same length matrices. you may, inspite of the undeniable fact that, multiply matrices that have distinctive dimensions with right here limit: If A is a m x n matrix and B is an n x p matrix, then AB is an m x p matrix whose get admission to AB_ij, 0<=i<=m 0<=j<=p is won by taking the dot made from row i of A with column j of B on your case, neither [ 2 -a million 6] + [ -4 5] nor [ 3 0 -9] [ 7 5] are defined (why?) wish this facilitates
2016-12-10 19:16:51 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Just add the corresponding terms like hte first example
In the second problem the answer is(3+5-2)
[ (2+8-6) / (3+5-2) ]
= [ 4 / 6 ]
2007-05-04 08:01:15 · answer #3 · answered by Dr D 7 · 0⤊ 0⤋
I'm assuming the slashes are intended to imply spaces between the numbers?
Anyway, when you add or subtract two matrices, they must have the same dimensions. If not, they cannot be added or subtracted.
Other than that, you would use order of operations. In other worse, if there are no parentheses, you should work left to right.
2007-05-04 08:02:32 · answer #4 · answered by msteele42 3 · 0⤊ 0⤋
no problem.
add or subtract corresponding elements.
example
[2/3] + [8/5] - [6/2] = ?
step 1
a=[2/3] + [8/5]
step 2:
b=a- [6/2]
OR
step1:
b=[2/3] - [6/2]
step 2:
c=b+ [8/5]
2007-05-04 08:03:24 · answer #5 · answered by iyiogrenci 6 · 0⤊ 0⤋
Yes, addition and subtraction can be done in any order. Multiplication and division, also. But, if you want to add, then multiply and then subtract, you can't change the order and get the same answer.
2007-05-04 08:02:57 · answer #6 · answered by soelo 5 · 0⤊ 0⤋
the order dosen't matter.
[2/3] + [8/5] - [6/2] = [4/6]
2007-05-04 08:07:47 · answer #7 · answered by happybunnykm1989 1 · 0⤊ 0⤋
by the way: a one dimensional matrix is called a vector
[2,3]--> vector
[2,3:4,8] -->matrix
2007-05-04 08:05:39 · answer #8 · answered by PeteRock 2 · 0⤊ 0⤋