(2) Let A be the 3 x 2 matrix with the following label male female Freshmen 512 376 410 Sophomore Junior 495 486 428 a. Suppose 2% of the male students and 1% of the female students tested positive for covid. So there are 14 students from each class tested positive. Use matrix multiplication to compute this answer. b. If 1% of freshmen, 2% of sophomore and 3% of junior tested posi- tive, use matrix multiplication to find the number of male and female students tested positive.

Q: 3. [Multiple questions in one item] Consider the column vector x = 02 3.1. If the product exists,…

A:

Q: Let A and B be matrices such that AB exists and is a 4X4 matrix and Ba is a 7X7 matrix. How many…

A: Let A and B be matrices such that AB exists and is a 4X4 matrix and BA is a 7X7 matrix.We find the…

Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

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Q: The matrix on the right results after performing a single row operation on the matrix on the left. 0…

A: Given:  row operation produces: To Find: To identify the row opeartion to be used.

Q: Generally the matrices are denoted by Select one: a. capital letter b. small letter c. numbers d.…

A: Generally matrices are denoted using capital letter.

Q: Count the number of operations involved in multiplying two n x n matrices.

A: Since n x n matrices using the standard matrix multiplication algorithm. Say you have two square…

Q: 1 2 3 0 11 -2 3 5 1 78 o the columns span all possible 4 × 1 matrices?

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Q: 2. Given the matrices A and B, find the products AB and BA 132 23 A = -2 14 B = 14

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Q: b) If P−¹AP and P-¹BP are both diagonal matrices, show that AB = BA.

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Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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Q: for the two matrices shown , Find the * (multiplication (A.B a- [; ;],»-[; *] 2 B = 4 1 1 A = 2

A: Topic: matrix multiplication

Q: O True

A: True

Q: 1 Perform the row operation R, and replace R, on the following matrix. 400 32 0708 0057

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Q: Find the following matrix product, if it exists. 100 0 1 0 0 0 1 -2-5-9 8 4 100 OA. 010 001 -6 0 2-8…

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Q: If A is a 1 x 2 matrix and the sum A + B can be computed, what is the dimension of B? X

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Q: Compute eA for each of the following matrices:

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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: Compute the adjugate -10 6 4 adj -7 9 10 8 -1 7 = of the following matrix: 000 000 000

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Q: Determine whether the following matrices are similar: 1 5 2 1 and 43 32 O similar O not similar

A: Theorem: Let A and B be two n*n matrices. Then if A is similar to B then (a) det A = det B  (b) A…

Q: Consider the matrices below and find the requested products if possible a. Find AB. b. Find BA. A =…

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Q: Q10.5 If A is a 2x8 matrix and if B is mxn , figure out the value of m if BTAT is a 20x2 matrix.

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Q: Let A and B be two 4 × 4 matrices with rank(A)<4. Then rank(A²B)<4. Select one: O True O False

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Q: Compute the following matrix. -3 3 BCHELE -3 1 3 -3 22 -4 -2 1 2 34 56 =

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Q: Given two nxn matrices A and B, what are the criteria for the matrices to be inverses?

A: Given the matrices A and B of order nxn.

Q: find C= A.B for the following matrices [3 5] 4-2 18-[21] A = ;B

A: Topic = Matrix

Q: If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

A: Given that  If A is a 2 × 3 matrix, and B is a 3 × 4 matrix To find how many columns does AB have

Q: Enter the elements of a 3 * 3 matrix using the keyboard and then find the result of summing the…

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Q: If A is a 2 x 3 matrix, and B is a 3 x 4 matrix, how many columns does AB have? Select one: O a. 2 O…

A: We will find the required.

Q: If A is a 3 x 5 matrix, B is a 5 x 7 matrix, C is a 7 x 11 matrix and D is a 5 x 7 matrix, which ONE…

A: ACB=A3×5 ×C7×11 × B5×7  , here the number of columns of A and the number of rows of B does not…