Expand det C across the first row to prove that det C = det A+ det B, where[a₁₁ +b₁₁a₁₂+b₁₂a₁3 + b₁3a21a23a31A33C=a22a3212911 912a13A = 9₂1 922 A23a31 a32a33B==b₁ b₁2 b₁311a21 A22 A23[a31 A32 A33

Answered: Image /qna-images/answer/9fc18f9f-5396-4147-aad9-93d5ef409102.jpg

Answered: Expand det C across the first row to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Is the vector [1/2] 1 in the null space of matrix A 8 10 L22 7 3 -1 13 -6? 2
What row operation will transform 1 1 - 7 2 1 8 7 6 -7 -5 -7 8 -3R2 + R3 → R3 R3 R3 R₂ R₁ 1 R3 R3 O7R₁ + R3 4R₁ + R3 O5R3 R3 OR₁ R₂ 3R3 R3 R3 R3 1 1 -7 7 0 2 - 56 into 1 -8 2 -6? 22
What row operation will transform -8 6 1 [-8 6 1 into 0. 28 36 46 ? -6 4 6 2 1 4 5 -8 1 -8 O 6R3 + R2 → R2 OR1 + R3 O R2 + R3 OR1 + R2 O-2R1 + R2 → R2 O-4R3 + R2 → R2 O3R2 → R2 O-4R2 → R2 O-3R2 → R2 sc ở: F2 80 F3 FI F5 F7 F8 @ $ % & * 2 3 6 7 8 Q W E R A S D F G 江
When A has full rank, the pseudo-inverse A+ can be expressed as A+ = (ATA)-¹AT when m≥n, and as A+ = AT (AAT)-¹ when n ≥m. In the first case (m≥n), observe that A+ A = I, so A+ is a left inverse of A; in the second case (n ≥ m), we have AA+ = I, so A+ is a right inverse of A.
Prove that if c=12n+4 where n in Z then c is not a linear combination of 27 and 18
Determine whether b is in col(A), as in Example 3.41. 1 1 -4 0 A = 2 ------ b = 5 1 -1 b is in col(A). b is not in col(A). = [2 0 = 4 -7] Determine whether w is in row(A), as in Example 3.41. w is in row(A). w is not in row(A)

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Expand det C across the first row to prove that det C = det A+det B, where [a₁₁ +b₁₁a₁₂+b₁₂_a₁3 + b₁3 a22 A23 a32 C= a21 a31 a33 911 912 913 a22 923 931 a32 933. A = 921 b₁ b₁₂ b₁3 B=a21 22 23 a31 a32 A33