Let A = 2 [33] 34 a b -[:] d a) Find all matrices B AB = BA. b) Use the results of part (a) to exhibit (2 x 2) matrices B and C such that AB = BA and AC # CA. such that
Let A = 2 [33] 34 a b -[:] d a) Find all matrices B AB = BA. b) Use the results of part (a) to exhibit (2 x 2) matrices B and C such that AB = BA and AC # CA. such that
Let A = 2 [33] 34 a b -[:] d a) Find all matrices B AB = BA. b) Use the results of part (a) to exhibit (2 x 2) matrices B and C such that AB = BA and AC # CA. such that
Transcribed Image Text:58. Let A =
2].
12
34
a) Find all matrices B =
a
b
[6]
d
such that
AB = BA.
b) Use the results of part (a) to exhibit (2 x 2)
matrices B and C such that AB = BA and
AC #CA.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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![58. Let A =
2].
12
34
a) Find all matrices B =
a
b
[6]
d
such that
AB = BA.
b) Use the results of part (a) to exhibit (2 x 2)
matrices B and C such that AB = BA and
AC #CA.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84d305fc-e861-4250-8822-5e6a32ff70d4%2F3f88e13f-2fdb-4cb5-b17b-5740489cbc40%2Fbg1kk2k_processed.jpeg&w=3840&q=75)
