The matrix- vector product A u of the matrix A = [ 2.1 1.3 − 0.1 6.0 1.3 − 9.9 4.5 6.2 4.4 − 2.2 5.7 2.0 0.2 9.8 1.1 − 8.5 ] and the vector u = [ 1 − 1 2 4 ] .

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Answer 1

Question

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

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Answer 2

Question

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

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Answer 3

Question

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

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Answer 4

Question

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

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Answer 5

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

Answer 6

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

Answer 7

Chapter 1.2, Problem 91E

(a)

To determine

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

Answer 8

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

Answer 9

(b)

To determine

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

Answer 10

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

Answer 11

(c)

To determine

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

Answer 12

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

Answer 13

(d)

To determine

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 1.1 - Prob. 1PP Ch. 1.1 - Prob. 2PP Ch. 1.1 - Prob. 3PP Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E

The matrix- vector product A u of the matrix A = [ 2.1 1.3 − 0.1 6.0 1.3 − 9.9 4.5 6.2 4.4 − 2.2 5.7 2.0 0.2 9.8 1.1 − 8.5 ] and the vector u = [ 1 − 1 2 4 ] .

The matrix-vector product Au of the matrix A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5] and the vector u=[1−124].

The matrix-vector product B(u+v) where the matrix B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vectors u=[1−124] and v=[7−125].

The matrix-vector product (A+B)v where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

The matrix-vector product A(Bv) where the matrices A=[2.11.3−0.16.01.3−9.94.56.24.4−2.25.72.00.29.81.1−8.5], B=[4.41.13.09.9−1.24.82.46.01.32.4−5.82.86.0−2.1−5.38.2] and the vector v=[7−125].

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Chapter 1 Solutions