University:
College
Course:
College Mathematics
Academic year:

2023
Views:

333

Pages:

2
Author:

Sergio P.

Date:Multiplication of a Matrix by a MatricTo mutiply two matrices, the first matrix must have theSame number of rows (m) 95 the second matrix has columns(A) In other words, n of the first matrix must equal n ofthe second matrix. For example, a 2 x1 matrix can bemultiplied by a x 2 mathix,x(a b)ax byyay byor a 2x2 matrix can be mutiplied by a 2x2. If an mxnmatnix is multiplied by an nxp matrix, then the resultingmatrix is an mxp matnix. For example, if a 2x1 anda / x2 are multiplied, the result will be a 2x2. If a2x2 and a 2x2 are multiplied the result will be a2x2.To mutiply two matrices, the following pattern is one:9 bwXA- -C ofBY ZC = A. B. =aw + by ax +b2CW + dy cx + d2In general terms, a matrix (which is a product of two matricesA and B. will have elements given by the following.Cij = ail b1j + aj2 b2j ++++ 9in 6 njwhere:i = ith rowJ = j th columnE xample:Multiply the matrices AXB125A. -B3I0 6CSDipindai dengan CamScanner Date :Solution:(1x3) + (2x0) (1xs) + (2x6)A.B -( 3x3) t (4x0) (3x5) + (4x6)3 to5+12I to15 +24317939If should be noted that the mutiplication of matricessis not usually commutative.