Recall (Hatırlatma: The following three operations on rows of a matrix are called elementary row operations.(Matrisin satırlarına yapılan aşağıdaki üç işleme elementer satır işlemleri denir.1. Interchanging two rows (iki satırın yer değiştirmesi)R, + R, interchanges rows i and j(S; > S, i. ve j. satırları yer değiştirme.)2. Multiplying a row by a non-zero scalar:( Sifırdan farklı bir skaler ile bir satırı çarma)kR, multiplies row i by the non-zero scalar (number) k(kS, i. satırı sıfırdan farklı k skaleri (sayısı) ile çarpma )3. Adding a multiple of one row to another row:tR + R, adds t times row i. to row j(tS + S, i. satırın t katını j. satıra ekle )Question(Soru):Let A be 4 x 4 matrix with det (A) = -2. If B obtained from A applying the following elementary row operations, then find the det(B).(4R, + R2) → R2 + R3 → (-3R4)→ (7R3 + R4) → R1 +→ R2Türkçe: A, 4 x 4 tipinde matris ve det (A)= -2 olsun. Eğer B, A ya aşağıdaki elementer satır işlemleri yapılarak elde edilen matris ise det(B)bulunuz.(4S1 + S2) S, + S3 (-3S4)→ (7S3 + S4) = S1 + SzO a. 6O b. -14O c. 42O d. -12

We can solve this problem by using determinant properties of addition and multiplication of a…

Let A be 4 x 4 matrix with det (A) 2. If B obtained from A applying the following elementary row operations, then find the det (B). (4R, + R2)→ R2 ++ R3 → (-3R4)→ (7R3 + R4) → R1 + R2 Türkçe: A, 4 x 4 tipinde matris ve det (A) -2 olsun. Eğer B, A ya aşağıdaki elementer satır işlemleri yapılarak elde edilen matris ise det(B) bulunuz. (4S, + S2) S2 +S3 (-3s,) (7S3 + S4) S, + Sz O a. 6 Оb.-14 Oc. 42 O d.-12

Let A be 4 x 4 matrix with det (A) 2. If B obtained from A applying the following elementary row operations, then find the det (B). (4R, + R2)→ R2 ++ R3 → (-3R4)→ (7R3 + R4) → R1 + R2 Türkçe: A, 4 x 4 tipinde matris ve det (A) -2 olsun. Eğer B, A ya aşağıdaki elementer satır işlemleri yapılarak elde edilen matris ise det(B) bulunuz. (4S, + S2) S2 +S3 (-3s,) (7S3 + S4) S, + Sz O a. 6 Оb.-14 Oc. 42 O d.-12

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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