(1 -2 9 For the matrix B = ( 0 \1 Y 3), if |B| = 0, what is the value of y? 3, 1 А. — 3 В. — 4

Q: 2- For any constant matrix A, if A² = 0 then a- e4' =I +At b- e4 =I - A12 c- e At-A²1 ² The correct…

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Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

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Q: |8 3 | 2 7 al, where a is tity matrix, its %D

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Q: a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank AT

A: 1) Given  7×5 matrix  rank(A)=2 using rank nullity theorem we have rank A + null A= number of…

Q: Q3: What 3*3 matrix that will generate Figure2 from Figurel. (1,21 LIRAQIA UC2S)ERSITY (2,5) 2,2)…

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Q: || You are given that, for the (3, 3)-matrix A below, det(A) = 5. %3D a A = Then 4 a 4.b 4 c det 4 r…

A: 1) |kA|= kn|A|  Where , A is n×n square matrix and k is scalar factor .  2) If each element in a row…

Q: 1. If y = (x + 1/x) (2x-3, then dy/dx will be ?

A: Given y = (x + 1/x) (2x-3), then to find dy/dx    “Since you have asked multiple question, we will…

Q: If A is any matrix, to what is tr (AA T) equal?

A: Let A=[aij] be n X n matrix. Then  AT=[a'ij] where a'ij=aji Let C=AAT=[cij] , where

Q: Possible values of x and y that would make the following matrix A singular, are: 4 -2 A = 2 -1 x y…

A: A matrix is said to be singular if determinant of matrix is zero. Let us find the determinant of…

Q: A is a 3 x 3 matrix, det(A) = -2. What is the value of det(3A)? %3D -6 O 54 O -54 O 6 O 27

A: Given :-  A is a 3×3 matrix , det A =-2. To Determine :-  The value of det 3A.

Q: Are there values of rand s for which 1 0 O r - 0 s- 4 r+6 7 has rank 1 or 2? If so, find those…

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Q: 3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

A: Since there are multiple questions, we are solving the first question. Please post the questions…

Q: For what value(s) of k is the matrix kk 01 k² 2 k 0 k k

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Q: 1. Given the matrix A below, r1 1 11 0 2 1 A = 2 1 L2 0 1 1 4. solve for det inv A.

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Q: D M 2P] 3 3. If A =| K [-P R s is a singular matrix then find the value of P.

A: Given a matrix, A=DM2PK3S-PRL. Let, D=1, L=9, P=f, S=1, N=8, K=9, M=3, R=5. Then, A=132f931-f59  To…

Q: *8. Suppose A is a square matrix satisfving the equation A3 – 3A +I = 0. Show that A

A: We have to solve given problem:

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: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: h(T) = T 2 − 2T − 7,

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Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT – 4l2) 5 3 -1 3 (a) 2 -5…

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Q: [1 1 1] L3 -2 3 1[k [k 1 1 -2||1 = 14 1

A: Given,           k11·10301-23-21·k11=14To find : The value of k that satisfies the following matrix…

Q: 2). For what values of t, the following matrix will be singular (7%4) t - 1 1 -2 t + 2 -1 t+1

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Q: - E- is multiplied by is equal to zero, then matrix If matrix A 3 B1 C.o D-2

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Q: 7.Suppose CA = and then the matrix C is A-A 16 24 (b) 28 41 (a) (c) (d) '(e) nonė [2 4 21 AlA-T) . o

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Q: Given X, = [-1,0]'.do [-1,1]", go = [2,0] and G(X,)s 2. Then f(X) - f(X1) 2 ((G(X,) means the…

A: As per the question we are given : X0 = [-1  0]T , d0 = [-1  1]T , g0 = [2  0]T , ||G(X1)|| ≤ 2 And…

Q: -1 If A= BD and 2A + B + X = 0 then the matrix X is O a. 1 - 2 10 3 Ob. 1 7 13 С. 3 2 1 d. 1 2 - 7 –…

A: ans: Given A=2-4-6-8, B=3-215⇒2A+B+X=0⇒X=-2A-B⇒X=-21234-3-215

Q: ( ( ). -1 (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(A).

A: Now we will find h(A)

Q: 4 .43 = メニX+エ Qz/ Asaume A- where I is A = and you= x 3. 2. unit Matrix Find yCA) ?

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Q: You are given the 3 x 3 linear system in augmented matrix form 5 0 -1 2 0 1 0 2 0 0 2 4 Starting…

A: We have. 50-1201020024 Thus, we have 3 equations: 5x+0y-z=20x+y+0z=20x+0y+2z=4 From the above…

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: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

Q: Which of the following is an elementary matrix? 1 0 1 В. 1 C. 0 0 1 A. 5 1

A: Given : Matrices A.  10-51 B. -5110 C. 110001000 D. 2002010000100001   To find : Which of the…

Q: For which values of the parameter a (if any) is the matrix invertible? Justify your answer. [1 07 а…

A: A matrix is invertible if and only if its determinant is non-zero.

Q: Given C and D are matrixes, and their products CD and DC exist, what can we tell about their…

A: Matrix multiplication is the process of multiplying two matrices using dot product. Dimension of a…

Q: The matrix is defined as A=(²₁ 2¹) has characteristic equation of 2² + DA + 3, so the value of D is.…

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Q: For what value of "c" is the following matrix non-invertible? 2 1 -1 5 4 C 3 0 Oc = - 1 3 Oc = -3 Oc…

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Q: [1 Let A = 2 and V = |1]. What is the sum of the entries of the B = %3D 14 5 1 matrix VT (AT — (А -…

A: We have to find sum of entries of given expression.

Q: 2 The matrix is defined as A=( ) has characteristic equation of 12 + DA+ 3, so the value of D…

A: Value of the coefficient of lyambda

Q: If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

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Q: Are there values of r and s for which 1 0 r- 4 4 0 s- 2 r + 4 5 has rank 1 or 2? If so, find those…

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Q: [1 2 4] [1 2 41 A = 2 1 3 and B = |2 1 3 li 0 2. l2 2 6] Find the elementary matrix, E such that EA…

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Q: e singular values

A: Given, if the singular values of a matrix A belonging to R3x5 are 6,4 and 1. To find:…

Q: (4) Given matrix A and that h(T) = T? – 2T – 7, find h(T). =

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Q: 9. Consider the matrix -- 1 A 2 2 -1 0 а. Write the equation det A = 0 in terms of x, y, and z. b.…

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Q: -2 9 For the matrix B = 1 if |B| = 0, what is the value of y? 1 Y 93m3

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Q: Are there values of rand s for which i 0 0 r- 5 0 s-4 r+ 5 0 0 has rank 1 or 2? If so, find those…

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Q: (4) Given matrix A= and that h(T) = T – 2T – 7, find h(T).

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Q: [*:* а + 2 а (10) Find all a E R for which the matrix is singular. 1 а

A: Remark: A square matrix A of n is said to be singular if and only if det(A) = 0. i.e., Its…