analysis are as lollows: Analysis 1: The electrical currents flowing in the antennas, Figure I(b), during an MR imaging scan are given by: 3i, + 34, - Si, - 7.5 A- 7i + 2i, -- 17.5 - 101, + 4i; + Si - 16 1. Write the above system of equations in the form Ax-b, where A is a 3 by 3 matrix and x and bare 3 by I vectors. 2. Find the determinant of A. 3. Determine i, izand i, by using Gaussian elimination.

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RF Pule
!!!
Antenna Antenna 2 Antenna 3
(c)
Figare 1: (a) MR mackine, (b) tkre loop antennas, and (c) brain MR image
The analysis are as follows:
Analysis 1: The electrical currents flowing in the antennas, Figure 1(b), during an MR imaging scan are
given by:
3i, + 3i, - Si; - 7.5
i- 7i, + 2i, -- 17.5
- 10i, + 4i; + Sis - 16
1. Write the above system of equations in the form Ax-b, where A is a 3 by 3 matrix and x and
bare 3 by 1 vectors.
2. Find the determinant of A.
3. Determine i, izand is by using Gaussian elimination.
4. Determine i, izand is by using the Inverse Matrix Method.
Transcribed Image Text:RF Pule !!! Antenna Antenna 2 Antenna 3 (c) Figare 1: (a) MR mackine, (b) tkre loop antennas, and (c) brain MR image The analysis are as follows: Analysis 1: The electrical currents flowing in the antennas, Figure 1(b), during an MR imaging scan are given by: 3i, + 3i, - Si; - 7.5 i- 7i, + 2i, -- 17.5 - 10i, + 4i; + Sis - 16 1. Write the above system of equations in the form Ax-b, where A is a 3 by 3 matrix and x and bare 3 by 1 vectors. 2. Find the determinant of A. 3. Determine i, izand is by using Gaussian elimination. 4. Determine i, izand is by using the Inverse Matrix Method.
You are working as an Engineering Technician at GEMR, which specializes in designing and developing
medical equipment such as Magnetic Resonance Imaging (MRI) systems, X-ray systems, and Radio
Frequency (RF) antennas coils. You will be working with the MRI and RF coils team to design a three
antenna RF coil, as shown in Figure 1(b), to be used in conjunction with an MR machine. The RF coil will
be placed on the patient head during the MR scan, see Figure 1(a). The RF coil will be exposed to an RF
pulse that is in conjunction with the magnetic field of the MR scanner, Figure 1(a), receives signals from
the brain as current flowing in the antennas. These currents are then converted into an image of the
brain as seen in Figure 1(c). Your responsibility is to carry out mathematical analysis of the RF coil to
predict the performance of the antennas before they can be tested on human beings.
Transcribed Image Text:You are working as an Engineering Technician at GEMR, which specializes in designing and developing medical equipment such as Magnetic Resonance Imaging (MRI) systems, X-ray systems, and Radio Frequency (RF) antennas coils. You will be working with the MRI and RF coils team to design a three antenna RF coil, as shown in Figure 1(b), to be used in conjunction with an MR machine. The RF coil will be placed on the patient head during the MR scan, see Figure 1(a). The RF coil will be exposed to an RF pulse that is in conjunction with the magnetic field of the MR scanner, Figure 1(a), receives signals from the brain as current flowing in the antennas. These currents are then converted into an image of the brain as seen in Figure 1(c). Your responsibility is to carry out mathematical analysis of the RF coil to predict the performance of the antennas before they can be tested on human beings.
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