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Last updated at Jan. 23, 2020 by Teachoo
Transcript
Ex 4.6, 6 Examine the consistency of the system of equations. 5x − y + 4z = 5 2x + 3y + 5z = 2 5x − 2y + 6z = −1 The system of equations is 5x − y + 4z = 5 2x + 3y + 5z = 2 5x − 2y + 6z = −1 Writing equation as AX = B [■8(5&−1&4@2&3&5@5&−2&6)] [■8(𝑥@𝑦@𝑧)] = [■8(5@2@−1)] Hence A = [■8(5&−1&4@2&3&5@5&−2&6)], X = [■8(𝑥@𝑦@𝑧)] & B = [■8(5@2@−1)] Calculating |A| |A| = |■8(5&−1&4@2&3&5@5&−2&6)| = 5 |■8(3&5@−2&6)| – 1 (–1) |■8(2&5@5&6)| + 4|■8(2&3@5&−2)| = 5 (18 + 10) + 1(12 – 25) + 4(–4 – 15) = 5 (28) + 1 (–13) + 4(–19) = 140 – 13 – 76 = 51 ≠ 0 Since |A| ≠ 0 The given system of equation is consistent
Ex 4.6
Ex 4.6, 2 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 3 Important Deleted for CBSE Board 2021 Exams only
Ex 4.6, 4 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 5 Important Deleted for CBSE Board 2021 Exams only
Ex 4.6, 6 Deleted for CBSE Board 2021 Exams only You are here
Ex 4.6, 7 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 8 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 9 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 10 Important Deleted for CBSE Board 2021 Exams only
Ex 4.6, 11 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 12 Deleted for CBSE Board 2021 Exams only
Ex 4.6, 13 Important Deleted for CBSE Board 2021 Exams only
Ex 4.6, 14 Important Deleted for CBSE Board 2021 Exams only
Ex 4.6, 15 Important Deleted for CBSE Board 2021 Exams only
Ex 4.6, 16 Important Deleted for CBSE Board 2021 Exams only
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