Question

Compute each matrix sum or product if it is defined. If an expression is undefined explain why LetA= (3:2) :-) :) and E- A+38, 4C-2E, DB, EB Compute the matrix sum A+ 38. Select the correct choice below and, if necessary, fill in the answer box within your choice OA. A 38 =

Answer 1

The as follows:- Rule for Matrix. Additionis We the coeresponding eubies in the sum entries in two mind that both matrices dimensions matrices keep in arre 3 of same of B matrix of 80. So Ae eg let A matrix dimension dimension = nom. dimension = nam C matrix of dimension = mxp dimension of A dimension of B A+B is defined dimensions of A & dimension of E so Atc is not defined lly dimension of B & dimension of a B+C is also not defined But CS Scanned with CamScanner

Date Page No. Subtraction lly we can pereforem subtraction of theo mabies only 4 these dimensisus by teleboracting get Subtraction of Multiplication :- are same and then entries in two the corresponding we will matries lequal to the For matrix multiplication, the number of columns in the first matrix must be number of rows in the Second matrix. So, the result matrix has the number of rows of the first and the number columns second matrix leg A → mxn. (dimensious) B ² na P I dimensions) 180 (AB) csay) of of the So cəmxp. (dimensious CS Scanned with CamScanner

So in our question + A = 03 = C 2 3 5 -6 4 3 2 BE -4 D = 2 4 2 -1 - 5 - 2 5 E = -5 2 So i) A+ 3B A = o-3 So, Here 5 6 B 7 -u 1 2 -2 -5 so A + 3B (dimensions of A) B ) (dijuesion 73 3x 7 -4 - 3 =) 2 5 2 5 - 6 니 > 0 - 3 + 7*3 3xl 3X(-4) 3xl-5) 3*42) 5 -6 4 3x2 =) - 0 - 3 - 12 t w 21 6 5 - 6 4 -15 -6 CS Scanned with CamScanner

Date Page Na =) (21 +1 -12 +0 - 3+3 4-6 5+6 -6-15 22 -12 11 - 21 -2 .: A + 3B 22 - 12 , Aus -21 - 2 111) 40-2E C= 2 3 8 E- -5 -3 2 2 dimension of c is 2x2 dimension E is of 2X I (dimension of € Iso (dimension of c) + 4e-25 is not defined not possible to calculate so CS Scanned with CamScanner

Date Page No مده الينند D = [2.4 -4 B = 5 2 -5 2 D 2x 2 dimension dimension of of B = 2 x 3 : no. of MO columns of D their multiplication of rows of B. is possible. po DB U 2 2 1 - - 21 -1 5 -5-2v 2 x 7+ 4X2 2x+4)+ 4x(-5) [4)x(-1) + 5x1-5) 2x1 +14x-2) (1)x(1) 5x12) 7xl-1) + 5* 2 8+ +(-20). 14+8 - 7+le 2-8 - 1 - 10 4 - as OB = 22 - 28 - 6 of duy 3 -2) CS Scanned with CamScanner

Page No. (iv) || EB E (-s] Ye B 7 Ч H 2 -5 -2 columns of E 1 no B - 2 no. of of rows of no. of Columns of F# no. no. of rows of B • theis multiplication is not possible :. so EB is not defined dus CS Scanned with CamScanner