Let A and B be 3x3 matrices, with det A = 8 and det B = - 3. Use properties of determinants to complete parts (a) through (e) below. a. Compute det AB. det AB = - 24 (Type an integer or a fraction.) b. Compute det 5A. det 5A = (Type an integer or a fraction.)

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A: As we know that applying row(column) operation value of determinants will not changed.

Q: the determinant of a 4×4 matrix A is det(A)=−5, and the matrix B is obtained from A by swapping the…

A: We have to find out the determinants

Q: Let A and B be 3x3 matrices, with det A = - 7 and det B = 7. Use properties of determinants to…

A: To Determine: compute detAB=-49 Given: Let A and B be 3×3 matrices with det A=-7  and det B=7…

Q: If the determinant of a 5 x 5 matrix A is det (A) = 8, and the matrix B is obtained from A by…

A: I am attaching image so that you understand each and every step.

Q: If a 4 x 4 matrix A with rows v, V2, V3, and v, has determinant det A = 7, 2v + 6v3 V2 then det 3v +…

A: If a 4×4 matrix A with rows v1,v2,v3 and v4 has determinant det A =7.

Q: Consider a 4 x 4 matrix A with rows vi, v2, v3, and v4. If det(A) = 2, find the determinant of the…

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Q: Find the determinant of the matrix, if it exists.

A: Find out the determinant of the matrix. determinant for 2×2 matrix A=abcd  A=ad-bc So given matrix…

Q: If A is a 3rd order matrix with a determinant of 5, then det((2A)^-1)=?

A: Using, Determinant formula

Q: If the determinant of a 5 x 5 matrix A is det(A) = -7, and the matrix C is obtained from A by…

A: Solution ) det(A) = -7 When we swapping row or column of the matrix its determinant multiplied by…

Q: -5 1 0 1 -6 0 5 2 0 A = 1 0 3 -1 0 1 0 -5 1 -6 6 -2 0 2 5

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Q: Given that A, B are two 4x4 matrices such that A B = 1, where l is a 4x4 identity matrix, which of…

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Q: Compute the determinants of the following matrices in M2 x 2 (R).

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Q: Let A and B be n × n matrices and let C = AB. Use determinants to show that if either A or B is…

A: Given :-  A and B  be n x n matrices  and  C = AB Singular matrices :-  A matrices singular when…

Q: If a 4 x 4 matrix A with rows v1, v2, V3, and v4 has determinant det A = 4, %3D 4v1 + 5v2 7v1 + 9v2…

A: See the detailed solution below.

Q: If a 4 x 4 matrix A with rows v₁, U₂, U3, and 4 has determinant det A = 9, 5v₁ + 20₁ then det V2 U3…

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Q: A, B,C are 3 x 3 matrices with det(A) = -5, det(B) = 2, det(C) = 10. choose the option which is…

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Q: Consider the following matrix: a b A d e f .g h i -d -e -f If det (A) = - 7, what is the determinant…

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Q: Consider a 4 x 4 matrix A with rows vi, v2, v3, and v4. If det(A) = 5, find the determinant of the…

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Q: Let A = [a1, a2, a3] be a 3 x 3 matrix whose columns are a1, a2, a3 and whose determinant is detA =…

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Q: A, B,C are 3 x 3 matrices with det(A) = -5, det(B) = 2, det(C) = 10. choose the option which is…

A: To find the determinant of AB2C-1, we use the following properties of the determinant for m×m…

Q: Suppose that a 4 x 4 matrix A with rows v1, v2, v3, and v4 has determinant det A = 2. Find the…

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Q: Consider a 4 x 4 matrix A with rows vi, vg, v3, and v. If det(A) 9, find the determinant of the…

A: We know det(A.B) = det (A).det (B)

Q: Suppose A, B and C are a 3x3 matrices having the following determinants: det (A) = 2 det(B) = 3…

A: Given that:                          det(A)=2det(B)=3det(C)=4Let D=2ABC-1B-1

Q: 5. Consider the following four matrices: ab c ba 2a 2b 2c a-3c b+Sa A= d e f #ME B-f d de f D d-3f…

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Q: Evaluate the determinant of the given matrix. det(A) = A² + 3x + 12 A²+ 3A - 10 x² + 3x + 2 A²+ 3A -…

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Q: If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A by…

A: If A is n×n matrix then det(aA)= andet(A). Just use this property of determinant of a matrix and…

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Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A 2 B 0 с 16…

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Q: Suppose that A is a 3x3 matrix whose determinant is 2. If B is obtained from A by exchanging row 1…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: Consider a non-singular 2 x 2 square matrix M. If trace (M) = 7 and trace(M²) = 10, then %3D %3D…

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Q: If A is a 3 x 3 matrix and det(A) = -2 what is the determinant of (5A) A. 250 В. 1 250 С. 1 250 D.…

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Q: 2. Consider the following matrix: -2 1 3 A = 5 3 1 -2 -1 (a) Calculate the determinant of A. (b)…

A: The given matrix is: A=-2134531-2-1

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A: As per our guidelines I am solving only first question please resubmit other question.  To find true…

Q: Suppose C is a 4 x4 matrix such that det (C) = 3. What is the determinant of the matrix B=2C?CIc-1?…

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Q: Let A and B be 3x3 matrices, with det A= -4 and det B= -8. Use properties of determinants to…

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Q: The determinant of the matrix [ ª11 a12 A a 21 a22 is given by : det(A) = |A| = a11ª12-a21@22

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Q: Suppose A, B are 3x3 matrices, det A = 6, and det B = -5. Find the following determinants. (a): det…

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Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A) 32 B) 2…

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Q: ). If A is a 3 × 3 matrix with determinant 1, then 2A has leterminant 6.

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Q: : Let A be a 4 x 4 matrix and suppose that |A| = 8. Using properties of determinants and inverse…

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Q: Suppose AB = AC, where B and C are nxp matrices and Ais invertible. Show that B= C. Is this true, in…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.