Show that if each element of one row (or column) of a determinant is the sum of two terms, the determinant can be written as a sum of two determinants; for example, a 11 a 12 + b 12 a 13 a 21 a 22 + b 22 a 23 a 31 a 32 + b 32 a 33 = a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 + a 11 b 12 a 13 a 21 b 22 a 23 a 31 b 32 a 33 Use this result to verify Fact 4b of Section 3.
Show that if each element of one row (or column) of a determinant is the sum of two terms, the determinant can be written as a sum of two determinants; for example, a 11 a 12 + b 12 a 13 a 21 a 22 + b 22 a 23 a 31 a 32 + b 32 a 33 = a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 + a 11 b 12 a 13 a 21 b 22 a 23 a 31 b 32 a 33 Use this result to verify Fact 4b of Section 3.
Show that if each element of one row (or column) of a determinant is the sum of two terms, the determinant can be written as a sum of two determinants; for example,
a
11
a
12
+
b
12
a
13
a
21
a
22
+
b
22
a
23
a
31
a
32
+
b
32
a
33
=
a
11
a
12
a
13
a
21
a
22
a
23
a
31
a
32
a
33
+
a
11
b
12
a
13
a
21
b
22
a
23
a
31
b
32
a
33
Mathematics for Elementary Teachers with Activities (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning