Find the area of the triangle with vertices (1, 0), (2, 2), and (4, 3)

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

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

Q: Solve the following system by determinant methods (Cramer's Rule) 2x1 – 12 – 13 = 1, x1 +3r2 – 13 =…

A: 2x1-x2-x3=1x1+3x2-x3=4x1+x2+2x3=-1Let us change x1=x, x2=y , x3=z for…

Q: Find a 3 x 3 matrix B where the determinant is 1 and the absolute value of all entries is greater…

A:

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: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: The determinant of a 2 by 2 matrix A is equal to the area of the parallelogram with two adjacent…

A: Given the 2 by 2 matrix A. We have to find the determinant of a  matrix A is equal to the area of…

Q: Evaluate the following 3 x 3 determinants using elementary row operations. 2 2 4 -2 4 3 4 0 5 (a) -1…

A:

Q: The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the…

A: Using the given method, first of all, write -1-5-3-54-4-223-1-5-54-22

Q: Given a 3 x 3 matrix A with determinant |A| = 4. (a) How many solution(s) X does the linear system…

A: Note: Homogenous linear system of equation AX=0 is always consistent. Either it can have unique…

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

A: Determinate

Q: 6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that…

A: We need to solve for Q 6 part c. We are given det(A)=4.

Q: If A non-singular 3x3 matrices and p is a non-zero scalar. Which one of the following expressions is…

A:

Q: Find the value of the unknowr X2 of the system give below using Cramer's rule and row reduction…

A:

Q: . Prove that,if row 2 of a 3 by 3 determinant is multiplied by k,k ≠0, and the result is added to…

A: Explanation: Given that, 3×3 matrix  Suppose  A=abcdefghi Find the determinant of A…

Q: 6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that…

A: We need to solve for Q 6 part b we are given det(A)=4 where A is 3×3 matrix.

Q: The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the…

A: Represent the matrix in the desired form.

Q: What is the cofactor of the entry a3,1 of the given determinant ? 3 -2 1 A = |-1 2 -4 -3 5 A. To

A: D)  option D is correct.

Q: Verify the given 7 properties with a suitable matrix (i) If any 2 rows (or columns) of a matrix are…

A: For each case we can verify these statement with example of 3X3 matrix with real entries. We can…

Q: If A is a 3 x 3 matrix with two identical columns. Which one of following statements is true? A. The…

A:

Q: Find 2 the determinant matrix: the 9 O

A:

Q: 2. Use the elimination 2 -3 2 1 -3 2 131 method to evaluate the following determinant. 2 1 -1 -4 23

A: we have to find determinant.

Q: 2-compute the determinant of the matrix if 31 -1 A= 2 1 1 -2 4.

A: Given: A=-1032151-24

Q: Solve the following system by determinant methods (Cramer's Rule) 2.r1 – r2 – 23 = 1, x1 + 3r2 – 23…

A: Cramer's Rule is a method that we will use determinants to solve systems of equations that have the…

Q: 3. Find the determinant of the given matrix |-2 3 -1 7 4 A= |-7 -6 -2 -3 5 7 3 -12 -4 by using…

A:

Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

A: Given

Q: Let A be a 3 x 3 matrix with determinant equal to 2. 2 -4 If the adjoint of A is equal to 12 -4 8…

A: To find out the A-1.

Q: How can the following problem be solved?  Use a determinant to find the area of the triangle with…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: Use the method demonstrated in Example 5 to find the determinant of the matrix. 3 9 -6 0 -7 4 9 1 8.

A: Topic  = Matrix

Q: 3 2 -1 4 2 15 7 05 2 -6 -1 2 1 0

A:

Q: 4. Find determinant for the following matrix: 4 4 -2 -5 -7 -3 6. 1 -2 -1 41 1. 21

A: Explanation of the solution is given below....

Q: If A is a 3 x 3 matrix with two identical columns. Which one of the following statements is true? A.…

A: Given A is the 3×3 matrix with two identical columns We have to choose the correct answer. Since, A…

Q: 4. Find determinant for the following matrix: 4 4 3 1 -2 -5 -7 -3 1 -2 -1 4-

A: To find the determinant of the given matrix

Q: 6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that…

A: We need to solve Q 6 part a for which we will use the properties of determinant.

Q: The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the…

A: To find the determinant:

Q: Given the 4 x 4 matrix with the following entries 001 0 0-1 -1 6 -3 -2 1-3 4 4 6 -7 Find the…

A:

Q: Given a 3 x 3 matrix A with determinant |A|= 4. How many solution(s) X does the linear system AX =…

A: Given: Given a 3 x 3 matrix A with determinant |A|= 4. AX = 03 (3 x 3 zero matrix).

Q: If A is a diagonal matrix, its determinant is the product of its diagonal entries, and its inverse…

A: Given, a) Diagonal matrix,A=400000200000100000120000014 b) Diagonal…

Q: Solve the following system by determinant methods (Cramer's Rule) 2x1 – x2 – x3 = 1, x1 + 3x2 – x3 =…

A: Here we use Cramer's rule: x1=D1/D, x2=D2/D, x3=D3/D

Q: The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the…

A: The given determinant is solved below in detail.

Q: For a given square matrix A, if its determinant is nonzero, then A is not equivalent to the identity…

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

Q: If B non-singular 2x2 matrices and k is a non-zero scalar. Which one of the following expressions is…

A: Please see the solution in the next step

Q: 6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that…

A:

Q: Consider the following 3 x 3 system. [an a12 a13 a21 a22 a23 a31 а32 аз3 Use elementary row…

A:

Q: = 1. Find the Suppose that a 4 x 4 matrix A with rows v1, V2, V3, and v4 has determinant det A…

A:

Q: The area of a triangle can be calculated using the determinant of the matrix. From the image below:…

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Q: write in sequence the steps in solving 3' the determinant OF matrix using the Rule Sarrus. OF

A:

Q: The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the…

A: We will use the given procedure to find determinant of A.

Q: If B non-singular 2x2 matrices and k is a non-zero scalar. Which one of the following expressions is…

A:

Q: Consider a 3 × 3-matrix whose first row is a vector a, the second row is a vector b, and the third…

A: given row  of  3×3  matrix  is          a   , vector      b   , vector c=2a+3b    , vector