Matrices and Their Inverses Answers
Given: CD = I, and
b =
7
c =
12
d =
-5
e =
4
f =
7
g =
3
h =
-2
i =
-4
Select the matrix that is the inverse of:
Use your knowledge of inverses and matrix multiplication to answer the following:AB = AB✔ I
Internet sites often ask for a secret phrase to recover lost passwords. Jason encoded a secret phrase using matrix multiplication. He multiplied the clear text code for each letter by the matrix: The matrix representing the encoded text is:Jason’s secret phrase is:CATS HAVE MANY LIVES✔ CATS RULE DOGS DROOLBE HAPPY DO MATHMORE MATH MAKE SMARTMORE MATH MORE HAPPY
Explain why it is important to be able to perform matrix operations by hand when a calculator can do them for you.
It is important to be able to perform matrix operations by hand because calculators may not always be available, such as on certain tests or if the calculator dies. Finding an inverse or doing other operations by hand also helps you understand the process instead of just getting an answer. Calculators may show decimal approximations rather than exact fractions. For small or simple matrices, working by hand can sometimes be faster. Finally, a matrix could contain a variable, which many calculators cannot handle easily.
Which of the following did your response include?
ABA = ✔ ABI
BBA = A✔ BI
BBAA = AB✔ I
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