Let A be a 3 x 3 matrix, and suppose that the matrix B is obtained from A by the following row operations: R1 +R2; R3 →R3+ 5R2 If det (A) = 12, what is det (B)? Exactly one option must be correct) - 60 a) - 12 b) c) 12 d) 60 OO00

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A: To perform the given row operations.

Q: Let a and b be real numbers satisfying a² - a -1 = 0 and 6² - 36 - 2 = 0, and let V = 1 a b ab (a)…

A:

Q: Diagonalize the following matrices a) (0 0 1 2 -2 A : 1 1 0 3 b) 3 2 A -2 -2 -2 1 2 2

A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

Q: Solve the matrix equation below: a) 2a NO 3 b 4-7d] b) Find 4A + B 2 = - [8, 1²] -9 [1 A = 6 13 L7 5…

A:

Q: Perform the given row operations: 3 7 -8 -87 3-2 -7 R₁ R3 -7-8 5 1) 7

A: We have to perform the row operations as given instructions.

Q: Consider the following matrices: -7 M = -1 (4-2) and (NM) - (34) 2 7 T = 1 a) Find matrix N. b)…

A: Step 1: Step 2: Step 3: Step 4:

Q: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

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Q: -81 45 8) Multiply using Matrices: (2x³ + 5x-1) * (x²-x²+x-2) 1.

A:

Q: Simplity the following matrix expression CA +o)?-2A° - 3ABA -A3.8²-B3

A: Matrix

Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: If S is the column space of A and T is C(B), then S +T is the column space of what matrix M? The…

A: As per the question we are given S to be the column space of matrix A and T is the column space of…

Q: 1- Problem #02: Find the first and second derivatives of the function tabulated below at the point x…

A: To find- Find the first and second derivates of the function tabulated below at the point x = 1.5.…

Q: Given the matrices A and B, solve for X. 18) 3X - B= A. 5 -2 3 and B= -1 -1 A = -4

A: 3X-B=A

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.