. With numbers, a∙b=b∙a and we say that multiplication is commutative.  Is matrix  multiplication commutative?  That is, does A∙B=B∙A  for matrices? Explain.

Q: A= 5 BE 3 6 -8 0 4 12 4 C = -2 5 10 6 9

A: Given A = -1532B = 364-8012C = 410-2659

Q: Determine whether or not the following statement is true: If A and B are 2 x 2 matrices, then (A+B)²…

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Q: The multiplication of two non-zero matrices could be a zero matrix. O True False

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Q: Convince yourself that matrix addition is commutative and associative. Then explain.

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Q: 4. Martha wants to try encoding words using matrix multiplication. She translates A into 1, B into 2…

A: Given: A = 4579 and W = 89.

Q: In linear algebra, the column space and the row space have the same dimension.   (True or False)

A: The given statement, "The column space and the row space have the same dimension".The objective is…

Q: Explain how you can determine if two n × n matrices, A and B, are inverses.

A: According to the given information it is required to tell when two matrices are inverses.An n×n…

Q: Suppose A and B are both 3 × 2 matrices. Which algebraic operations and procedures apply to these…

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Q: Write the dimension of a matrix you can multiply a 2 x 3 matrix by :

A: The given matrix dimension is 2 x 3   This is in the form of m x n where m is the number of rows and…

Q: I cant understand what's going on. can this be explained with matrices?

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Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: To find the (3, 9) entry in a matrix product we compute the product of 3 of the first matrix with 9…

A: As we know that, Matrix multiplication indicates a row-by-column multiplication, where the entries…

Q: Explain how to determine whether the inverse of a matrix exists. If so, explain how to find the…

A: The inverse of a matrix exist if  ad−bc≠0 that is |A|≠0 , then A−1 is well defined and so A is…

Q: understand

A: We will simplify the expressions.

Q: Given two matrices A and B, how can you determine the order of AB, assuming that the product is…

A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

Q: Explain the Elements of Matrix Algebra: Addition and Multiplication?

A: Matrix addition: The addition of two matrices is defined if and only if the order of both matrices…

Q: Does matrix multiplication commute? That is, prove why does it. If not, explain why it does not.

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Q: If A= [²4] -3 -6 -4 a) and 0-1 1/3 B=-2 8 compute AB and BA, if possible — -5-8 AB = . (simplify…

A: We have to multiply the matrices ..with the help of row and columns

Q: 3 3 Can be read as: “Take the square root а. of the sum of the squares for all i and i=1 j=1 j." 3…

A: The matrix is given as :- A=-23643214-6 here , a11=-2 , a12=3 , a13=6a21=4 , a22=3 , a23=2a31=1 ,…

Q: Show that, the non-zero elements of the inverse of a N*N diagonal matrix is just multiplicative…

A: As per the question,we are asked to prove that the non-zero elements of the inverse of a diagonal…

Q: how matrix algebra applied in accounting and finance

A: A matrix is a rectangular arrangement of well defined elements. Matrix algebra is useful in…

Q: or state that there is no inverse. Find the inverse of the matrix A 8

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Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

Q: 1- The cross product produces and the dot product produced - 2- Two nonzero vectors A and B are…

A: By definition of cross product and dot product of vectors we have, 1. The cross product produces a…

Q: The formula (IMG) is true for matrices. Select one: A) True B) False

A: From the given problem: A+BA-B=A2-B2 As we know that, in matrices:  matrix AB≠matrix BA

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) [ 830…

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