Given the matrix a – 2 3 - a 4+ a A = a +5 2а +9 -а-1 2а- 3 3+а 8 - a 1+ a For what values of a is A singular? Justify your answers.

Q: Let A 1 2 3 1 -8 5 a. Verify that A¬1 -3 2 2 -1 b. Write the following system of equations as a…

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Q: Construct the augmented matrix that corresponds to the following system of equations. …

A: Explanation of the answer is as follows

Q: Consider the given matrix A 4 -1 -2 5. 14 A= 9. -1 2.

A: Given matrix is A=4-1-22514-49-1. To evaluate the cofactor C23 of the given matrix. Solution:…

Q: 4: 20, + (2 (2 C, - C, 2(2 -7: 7=3C, + C, C1

A: we have to solve the values of C1 and C2 through the matrix  211-1-123145-77 to find the solution we…

Q: For matrix A = [8 -19 16], AAT is

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Q: Construct the augmented matrix that corresponds to the following system of equations. {…

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Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: For matrix A, (A^3) = 1, A^(-1) is equals to: * A^2

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Q: Demonstrate that A A-1 = A-1 A = I

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Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: If A and B are matrices 3 x 3 order with 12A| = -1 and |2B³| = 16, then calculate |A-1B"|.

A: Here, A and B both are of the order 3×3. So, A-1 and BT are of the order 3×3. Now, from the…

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: For the matrix A. det(A) = 16 B. det(A) = -30 C. det(A) = 0 O D. det(A) = 30 OE. det(A) = -16 %3D

A: We try to solve determinant using some elementary row operations.

Q: If A-1 =
2 71 3, what is the matrix A?

A: Its given that: We need to find the original matrix A.

Q: Consider matrix A. -3 5 2 A = 8 -1 3 What matrix results from -8·A?

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Q: Find the matrix "x" that satisfy the equation 5 -1 0 - 4x = 4 4 -2 -5 5 -26 - 2 6 0 2

A: Subtraction of two matrices: abcd-efgh=a-eb-fc-gd-h Subtraction of two matrices is defined only if…

Q: If A is a square matrix, then a pivot in every row means that the equation Ax=b has infinite…

A: Solution : Given statement is False

Q: Solve the matrix equation AX = B for X 1-2 -3 6. -1 4 6 , B = Jon A%3D 1

A: Here we have to solve the equation AX=B for X. A=1-2-3-1461-1-2, B=618

Q: 2.4. Explain why: (a) If the third column of B is zero, then for any matrix A, the third column of…

A: Matrix: A matrix is a rectangular array represented in the form of or Here A represents the matrix…

Q: Given the matrix below, find AB. 21 0 and B = 0 [7 -2] [-1 A = 4 3 1. 11 3 Choose your answer here.…

A: A=-125031 and B=7-20413

Q: How can you figure out the matrix A, in terms of B, C, and D, if: (5CA−1D ) −1 = B

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Q: If A is the matrix -3 4 3 A 3D 4 3. 1 12 and if 1 u = and V = 3.

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Q: Suppose that A is a 9 × 7 matrix. If A = 0 has only the trivial solution, what is the rank of A? The…

A: Given  Ax→=0→ has only trivial solution, where A is matrix of order 9×7.

Q: Consider matrix A. -3 5 2 A = 8 -1 3 |

A: A=-3528-13To find the elementary row operation -3R1+4R2

Q: How can you figure out the matrix A, in terms of B, C, and D, if: (8CA−1D ) −1 = B

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Q: How would you figure out the matrix A, in terms of B and C , if (4A T + 6C TB ) T = 6A − 6B

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Q: 2. Find the general solution to the system of equations whose augmented matrix is given below by…

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Q: John says that for any square matrix A, (A + I )3 = A3 + 3A2 + 3A + I Is he correct? If he is,…

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Q: Find the sum of Matrix A and B: [2 5 81 A 1 2 4 [3 2 8 Find AB A-] - [₁3] 1 8 [58 7 B = 4 2 2 [124]…

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Q: Solve the linear system corresponding to the following augmented matrix: 3 6 24 [294] 2 3 11 O A.…

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Q: Given that A is a 4 × 2 matrix and B is a 2 × 1 matrix, a. Is AB defined? If so, what is the order…

A: a) A is a 4 × 2 matrix and B is a 2 × 1 matrix Since number of coulmns of A=number of rows of BSo AB…

Q: What is BA if 3 Matrix A = 0 -4 -2 5 -1 6 2 -1] [2 and Matrix B= 3 [1 -1 -5 4 0 2 -2]

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Q: Find both the sum and difefrence of Matrix A and В. (1 2 -1 '-s 5 9 k) A=0 1 2 B= 2 10 -9 4 2 -3) 6.…

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Q: If the matrix A= [9 8 7; 7 9 3], find 1. B [A A*2;-A 2+A] 2. В (3, :) 3. Size (B) 4. B' 5. Add (2)…

A: Solu

Q: Use a matrix to solve the following system of equations: 7x- 14y + 28z = 21 -9x + 27y - 36z = -18…

A: We solve this problem by Gauss elimination method

Q: -2r If A = -3 is a singular matrix, then r= ±4 O ±4 O plus-or-minus 5

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Q: [3 1-1] ,then the product of A by itself two timesis 21 b If matrix A=

A: We have to find

Q: Suppose that B is a matrix whose third column is the sum of the first two columns, then the third…

A: We have to solve given problem: Consider B is a matrix whose Ist,IIndand IIIrd column…

Q: Given that A is a 1 x 7 matrix and B is a 5 x 1 matrix. (a) Is AB defined? If so, what is the order…

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Q: you have the matrix 30 1 A = |-1 2 0 3 1 2 Very specific inverted?

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Q: Find the 2 x 2 matrix A, if 2 (A" – 212x2)-

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Q: If A is a 4x4 order matrix and det(A) = -1, then the value of det(3A) is Select one: O a. -81 O b.…

A: we are allow to solve one question at a time thank you

Q: Show that A is similar to B by showing that A and B are similar to the same diagonal matrix, where…

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Q: Solve the following system of equations by back substitution, or elimination. х — у — z = 2 y + 3z =…

A: We are  given the 3 equations: x-y-z=2--(1)y+3z=5 ---(2)5z=10     ---(3) From(3), we have  z=105=2…

Q: Given the matrices A=[0235], B=[2−2 4−2] and C=[5−5 0 2],,solve for the matrix X in the equation…

A: We have to find matrix X

Q: Solve the following matrix equation. 4 - 12 6 +4 y - 54 8. 5z 28 X= y = z= (Type integers or…

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