10. If a 7 x 7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b) det(-3A) (c) det(A) (d) det(A-1)

Q: (a) det(A-1) (b) det(5A)

A:

Q: If A and B are 2 x 2 matrices with determinants |A| Find the determinant |(3ATB-¹) (2B-¹)¹. (d) 1/1…

A:

Q: 8. Let A be a square matrix of order n > 3, and suppose that det(A) = 3. Find the following…

A: Given: A is any matrix with detA=3. To Find: det(A3), where A3 is the matrix obtained by rearranging…

Q: (b) Let a b c def gh hi and let det(A) = 6. Find the following determinants: (i) det (((34)²)) (ii)…

A: This question is about evaluation of determinant.

Q: 3. Let D, E and F be 4x4 matrices such that det (D) = 2, det (E)= 3, and det (F) = 4. Calculate the…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted…

Q: Find the determinant of the matrix 3 3 M = 2 -1 -1 -2 1 det(M) :

A:

Q: Compute the determinant. -3 2 -2 2 0 -1 2 -2 7) 0. 0 -3 1 4 21 -3 1 05 -3 5 8) -4 3 3 3 -2 5 1

A: The determinant of a matrix can be calculated by expanding the matrix along a row or a column. The…

Q: (a) Find the following determinants. 1 2 -1 -2 787 296 3 -3 1.67291

A:

Q: Suppose det(A) = 5 and then you perform the following row operations in the order shown. What is the…

A:

Q: (a) With what sign does the term aina2n-1... and appear in the determinant of the matrix with…

A:

Q: If the determinant of a 4 x 4 matrix A is det(A) = -6, and the matrix C is obtained from A by…

A:

Q: Which of the following is the determinant of the 2 x 2 matrixA= (A) ad-be (B) be- ad (C) (D) ad-bc

A:

Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: (1 point) If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A…

A:

Q: If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

A: Use the property of matric when a row/column is multiplied by a scalar, the determinant gets…

Q: Calculate the determinant of A= det (A) = Number -20 -4-4-2 4 -6 2 4

A:

Q: what is the relationship between determinant and rank

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.