1. Use the following two matrices to show if matrix addition and multiplication follows commutative law. 1 5 76 3 5 6 And 11 4 14 10 5 1 6 2. Take three matrices from your mind and sow if those three satisfy distributive law. 3. Determine the rank of both the matrices from question 1 Hint: Step 1: Determine the determinant Step 2: Show if the value of determinant is 0. 4. Why matrix vector multiplication does not satisfy commutative law. Show that with an example. 5. Is matrix addition commutative? Show that with an example.

Q: c.) (CD) (CD) -1 = d.) cofactor of B =

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Q: Consider the following matrices: 0.2 0.5 -0.2 1.0 -0.5 10 -2.0 2.0 -1.0 Perform each operation in a…

A: Aa per our guidelines, we can answer only first three sub-parts. Kindly repost the rest sub-parts…

Q: I. Find the determinant of the matrix below using the following method: 1 2 3 |A| =| 4 5 6 7 8 9…

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Q: 4. Determine whether the given matrix is invertible without computing its determinant. -3 0 1 3 5 8…

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Q: Find the determinant of the following matrices.

A: Given matrix : 410-17-2235 we have to find determinant of the given matrices.

Q: 3. The determinant of an upper triangular n x n matrix or a lower triangular n x n matrix equals the…

A: an upper triangular matrix is those having non-zero elements from the diagonal and above and the…

Q: TRUE OR FALSE? A. If AX=0 has a nonzero solution, the determinant of A is not zero. B. Suppose A…

A: Given, A. If AX=0 has a nonzero solution, the determinant of A is not zero. B. Suppose A is a 10x10…

Q: Suppose you are given a square matrix A and you compute its determinant and get det A = 7. Your…

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Q: 1. Find the determinant of the following matrices. a. -3 5 2 "[31] B 3] b. -7 1/2 3 C. [0 3] 2. Find…

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Q: Prove that there is an equivalent set of properties of determinants for column operations as there…

A: Let us consider a matrix A=aij be of the order 3x3.

Q: Let A be a 4 × 4 matrix with det(A) = 2. Which of the matrices 2A, -2A and A² will have a…

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Q: Take three matrices from your mind and sow if those three satisfy distributive law. Determine the…

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Q: 12. Which of the following represent the identity of 14. Find the determinant of the matrix a 3x3…

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Q: If a 4 x 4 matrix A with rows ₁, ₂, 3, and 4 has determinant det A=-5, 601 +7 4 then det V2 V3 401…

A: Given : det6v1+7v4v2v34v1+4v4

Q: If a 4 x 3 matrix is multiplied by a 3 x 4 matrix, what are the dimensions of the resulting product…

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Q: Show all work. If you are reasoning through steps and use a defn/theorem/property state which you…

A: I have reduced the matrix into upper triangular form and find the inverse

Q: II. Find the determinant of the follov [а 1 1 а 1 1 1 a [1 1 1] 1 1 A = 1 1 1 a

A: To find the determinant of the given matrix A by row reduced method :-

Q: 6. Evaluate the determinant for the following matrix: O A.8 OB.-2 O C.5 O D.4 3-5 1

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Q: Q4) For Matrix A = 2 1 2 5 -1 4 1 -1, Find the following: 1 1. The Determinant of A. 2. The Minor of…

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Q: et A and B be two matrices of the same order, then state whether the g true or false. A + B + B+ A…

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Q: Find the inverse of the matrices 7. A = -5 2 5 15 3. - 3

A: as per bartleby guidelines i answered 7 and 8 only

Q: Find the determinant of the following matrix: 6. 13 1 3

A: Given matrix is  613-13

Q: Given the below matrix, determine the following. Show all work. a. Does the inverse of the below…

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Q: 1. Evaluate the determinant of the matrix -3 4 P = 2-3 -4 -4 -3-4, -1 -2 3 1 -2 3 12

A: As per the guidelines I am answering only one question at a time. 1] P=12-34-1-23-41-23-412-3-4