5. 23-3 40 6 1 3 5

Q: Find the general solutions of the systems whose augmented matrices are given in Exercises 7–14.

A:

Q: Evaluate each determinant in Exercises 1-10. |5 1. 2 3 4 8 2. 5 6 7 -4 1 7 3. 5 6 4. -2 -5 -7 5. 14…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the determinate of x, sin x, cos x by using a 3x3 matrix

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Q: 12 2 0 3-4 −4|= 27 4 12 2 0 3-4 03 0

A:

Q: Evaluate each determinant in Exercises 1-10. 1. 5 7 2. 4 5 6 8 3 3. -4 1 4. 7 9. 6. -2 -5 5. -7 14 1…

A: Determinant is calculated only for square matrices. A square matrix is a matrix with same number of…

Q: Evaluate each determinant in Exercises 27–32. 27. 13 0 28. 4 3 2 2 1 1 -5 -1 4 2 -1 -3 5 29. 3 1 30.…

A: 27. The given determinant is, 30021-525-1 On solving the given determinant, we get…

Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

Q: 11. 3 4 -3 -1 30 1-3 -60-4 3 6 8 −4 −1

A: I have explained everything with in the solution.please go through that.

Q: Find the maximum and minimum values of f(x, y) = 5x + y on the ellipse x² + 49y² = 1 maximum value:…

A:

Q: 22. 2244 1133 102 1 4132

A:

Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

A:

Q: Evaluate each determinant in Exercises 23-28. 3 0 23. 2 1 2 5 |4 24. 3 2 -3 0 0 -5 -1 4 -1 5 -4 2 0…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

A:

Q: Suppose I + AB is invertible. Show that I + BA is also invertible by showing that (I + BA)¯ = I –…

A: Assume that I+AB is invertible.  Then, I+ABI+AB-1=I ⋯ 1. Use equation (1) and calculate…

Q: 7. 1 30 -2 3 1 -5 7 52 -1 2 2 4 1 -3

A: I have explained everything with in the solution. Please go through that.

Q: How can the third order determinant be expressed through the laplace expansion ?

A:

Q: Let A be a 7 x 7 matrix. Write down the number of different expressions for the determinant of A we…

A: The minor matrix is the determinant of the matrix that is formed by deleting the ith row and jth…

Q: 2.11 For which values of k does this system have a unique solution? x + z-w=2 = 3 +kz =4 z-w=2 X…

A:

Q: 13. 3 5 4 10 1 1 2 1

A: Theorem 8: An Inverse Formula  "Let be an invertible matrix. Then Adjugate Matrix: Let be an…

Q: 6. 1 -5 -4 0 3 4 -3 6 0

A:

Q: Compute the determinants in Exercises 1–8 using a cofactor expansion across the first row. In…

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Q: ✓2.18 Show that determinant functions are not linear by giving a case where A+B # |A|+BI.

A:

Q: 7. x1 4 -1 7 -4 + x2 -5 3 -5 1 + x3 7 -8 0 2 = 6 -8 0 -7

A:

Q: 7. 1 -2 3 1 30 -5 7 52 1 2 - 2 4 1 -3

A: Given: Objective: To find the determinant by row reduction to echelon form.

Q: Use determinants to find out if the matrix is invertible. - 25 2 - 5 -6 2 O 10 -3 1,

A: A metric is set to be invertible if its determinant is non zero. We will find the determinant of the…

Q: Exercises 151–153 will help you prepare for the material covered in the next section. 151. Replace…

A: To solve 3x3.?=9x5, consider the question mark as a and obtain 3x3.a=9x5. Then, divide both sides by…