9. Which of the following values of k satisfies the following matrix equation? (1 1 0 (k 2 1 = 0. 02-31) (k 11) 10

Q: Q.1/ (7+7) Marks A- Use matrix inverse to solve the following system of equations: 4x + 6y + 2z = 28…

A: Image is attached with detailed solution.

Q: Q3 Given matrix = 2 , determine values of x for which (x – 3). |A| = 0.

A: The Determinant of the matrix A is, (x-2)(x-3) - 12 = x² - 5x + 6 - 12 = x² - 5x - 6

Q: -2 4 For the matrix B = what is the value of |B|? 3 7 3. A. 8 В. — 2 С. 4 D. -5 Select one: O D O C…

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Q: 1 2 5 -3 Find a matrix X that satisfies XA=B, where A = and B = 2 5 3 -5

A: We find inverse of A then fin matrix X.

Q: Solve the matrix equation AX = B for X. 1 3 11 B = 33 A= 5 4 X=

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Q: 8 -2 -2 A -3 3 -6 3 15 Find a matrix S and a diagonal matrix D, such that S-1 AS = D. Hint: det(A –…

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Q: Find x such that the matrix is singular. 4 X A -2-6 X3D

A: Given Matrix is, A=4x-2-6 we know that, A matrix is said to be singular if it's determinant is zero.…

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: Invert the following matrix 3x – 2y = 9 -x + 3y = 3

A: Solution: Consider the given system of equations: 3x - 2y = 9-x + 3y = 3 The coefficient matrix of…

Q: 12 6 . Determine the rank and nullity of the matrix C=|0 1

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Q: 1.2 Consider the following matrix (where a, b, and c are unknown real numbers): 1 a -1 0 0 b 1 0 0 c…

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Q: 1. Show that the matrix 2 1 A = 1 2 -1 -1 is positive definite.

A: Given :- a matrix A  We need to show that a matrix is positive definite. We know that , A symmetric…

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent s- {(; :)…

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Q: (1) If a matrix A has 10 columns with nullity(A) = 5 and nullity(A) - 3, then A has 7 rows? (i) If A…

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Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Find a 2x2 matrix A such that A2 = 1

A: As per the instruction, we will be answering the first question. For (1), We need to find a matrix A…

Q: [-7 12 4 3. Let A = -4 7 Find an invertible matrix S and a diagonal matrix D such that s-1AS = D.

A: The given matrix is A we have to find the diagonal matrix D by finding the eigen value and find the…

Q: Note: m=0 + m -2 6. 1. Let 1=* = l and C = |14 — т аnd C — 3 18 + m -10 -21 Find the matrix X, if A?…

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Q: 3 Given that matrix A = (, and matrix B = 1. From the matrix above, 3 Determine the values of x and…

A: The given matrices A=35-10 and B=x0y1

Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

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Q: 15. If A=| B = 0 1 and C = |1 0 then find the matrix (Av B) 0 c

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Q: 1 0 (¹²2₁) 1 1 of the matrix B x A? Let A = 00 01 02 03 O-1 O-2 O-3 and B = 2 1 (GD -1 0 1 What is…

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Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

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Q: . If A= is a symmetric matrix, find the value of x. -x+3 4

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Q: 1 1 2 Q1. If [A]=3 k1where k is constant. %3D 4 2k i) For what value(s) of k the matrix A has an…

A: For Inverse to exist determinant should be non-zero.

Q: 1. [ , ] A is a (3 x 4) matrix with the only special solution s = to the equation Ax = 0. Find the…

A: Given that s=2418 is the only special solution to the equation Ax=0 where A is a 3×4 matrix. Note…

Q: -3 *-[1]-*-[;)] and Az = 2a - 4b. = Let A be a 3 x 2 matrix with linearly independent columns.…

A: x is just the linear combination of u and v.