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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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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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 +→ 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. (4S1 + S2) S, + S3 (-3S4)→ (7S3 + S4) = S1 + Sz O a. 6 O b. -14 O c. 42 O d. -12
Transcribed Image Text: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 +→ 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. (4S1 + S2) S, + S3 (-3S4)→ (7S3 + S4) = S1 + Sz O a. 6 O b. -14 O c. 42 O d. -12
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